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136740252432 = 24371912837529
BaseRepresentation
bin111111101011001011…
…0101010101100010000
3111001221122220112201210
41333112112222230100
54220021001034212
6142452334100120
712610356653040
oct1772626525420
9431848815653
10136740252432
1152a9a342593
122260204a640
13cb82434394
14689272d720
15385497053c
hex1fd65aab10

136740252432 has 160 divisors (see below), whose sum is σ = 407311073280. Its totient is φ = 38721623040.

The previous prime is 136740252421. The next prime is 136740252433. The reversal of 136740252432 is 234252047631.

It is not an unprimeable number, because it can be changed into a prime (136740252433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18158044 + ... + 18165572.

It is an arithmetic number, because the mean of its divisors is an integer number (2545694208).

Almost surely, 2136740252432 is an apocalyptic number.

136740252432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136740252432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203655536640).

136740252432 is an abundant number, since it is smaller than the sum of its proper divisors (270570820848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136740252432 is a wasteful number, since it uses less digits than its factorization.

136740252432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8021 (or 8015 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 136740252432 in words is "one hundred thirty-six billion, seven hundred forty million, two hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 283 336 382 566 573 764 849 1132 1146 1337 1528 1698 1981 2264 2292 2674 3056 3396 3962 4011 4528 4584 5348 5943 6792 7529 7924 8022 9168 10696 11886 13584 15058 15848 16044 21392 22587 23772 30116 31696 32088 45174 47544 52703 54053 60232 64176 90348 95088 105406 108106 120464 158109 162159 180696 210812 216212 316218 324318 361392 378371 421624 432424 632436 648636 756742 843248 864848 1135113 1264872 1297272 1438039 1513484 2130707 2270226 2529744 2594544 2876078 3026968 4261414 4314117 4540452 5752156 6053936 6392121 8522828 8628234 9080904 10066273 11504312 12784242 14914949 17045656 17256468 18161808 20132546 23008624 25568484 29829898 30198819 34091312 34512936 40265092 44744847 51136968 59659796 60397638 69025872 80530184 89489694 102273936 119319592 120795276 161060368 178979388 238639184 241590552 357958776 406965037 483181104 715917552 813930074 1220895111 1627860148 2441790222 2848755259 3255720296 4883580444 5697510518 6511440592 8546265777 9767160888 11395021036 17092531554 19534321776 22790042072 34185063108 45580084144 68370126216 136740252432