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126640199136 = 2531158191
BaseRepresentation
bin111010111110001011…
…0000001010111100000
3110002212202212200021210
41311330112001113200
54033324342333021
6134102214550120
712102155634363
oct1657426012740
9402782780253
10126640199136
1149787100000
1220663668340
13bc32ab5099
1461b51a40da
153462debe76
hex1d7c5815e0

126640199136 has 144 divisors (see below), whose sum is σ = 365718011904. Its totient is φ = 38371132800.

The previous prime is 126640199039. The next prime is 126640199183. The reversal of 126640199136 is 631991046621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15456801 + ... + 15464991.

It is an arithmetic number, because the mean of its divisors is an integer number (2539708416).

Almost surely, 2126640199136 is an apocalyptic number.

126640199136 is a gapful number since it is divisible by the number (16) 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 126640199136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182859005952).

126640199136 is an abundant number, since it is smaller than the sum of its proper divisors (239077812768).

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

126640199136 is an frugal number, since it uses more digits than its factorization.

126640199136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8207 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 126640199136 in words is "one hundred twenty-six billion, six hundred forty million, one hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1331 1452 1936 2662 2904 3872 3993 5324 5808 7986 8191 10648 11616 14641 15972 16382 21296 24573 29282 31944 32764 42592 43923 49146 58564 63888 65528 87846 90101 98292 117128 127776 131056 161051 175692 180202 196584 234256 262112 270303 322102 351384 360404 393168 468512 483153 540606 644204 702768 720808 786336 966306 991111 1081212 1288408 1405536 1441616 1932612 1982222 2162424 2576816 2883232 2973333 3865224 3964444 4324848 5153632 5946666 7730448 7928888 8649696 10902221 11893332 15460896 15857776 21804442 23786664 31715552 32706663 43608884 47573328 65413326 87217768 95146656 119924431 130826652 174435536 239848862 261653304 348871072 359773293 479697724 523306608 719546586 959395448 1046613216 1319168741 1439093172 1918790896 2638337482 2878186344 3837581792 3957506223 5276674964 5756372688 7915012446 10553349928 11512745376 15830024892 21106699856 31660049784 42213399712 63320099568 126640199136