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137508748640 = 25517192660773
BaseRepresentation
bin1000000000010000101…
…0001111110101100000
3111010221012222012100022
42000010022033311200
54223104214424030
6143100505413012
712635411035544
oct2000412176540
9433835865308
10137508748640
115335411611a
122279749a168
13cc75706973
146926817a24
15389c172de5
hex200428fd60

137508748640 has 96 divisors (see below), whose sum is σ = 362078125920. Its totient is φ = 49043349504.

The previous prime is 137508748627. The next prime is 137508748721. The reversal of 137508748640 is 46847805731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278707 + ... + 1382066.

It is an arithmetic number, because the mean of its divisors is an integer number (3771647145).

Almost surely, 2137508748640 is an apocalyptic number.

137508748640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137508748640 is an abundant number, since it is smaller than the sum of its proper divisors (224569377280).

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

137508748640 is a wasteful number, since it uses less digits than its factorization.

137508748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660824 (or 2660816 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 137508748640 in words is "one hundred thirty-seven billion, five hundred eight million, seven hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 1292 1360 1520 1615 2584 2720 3040 3230 5168 6460 10336 12920 25840 51680 2660773 5321546 10643092 13303865 21286184 26607730 42572368 45233141 50554687 53215460 85144736 90466282 101109374 106430920 180932564 202218748 212861840 226165705 252773435 361865128 404437496 425723680 452331410 505546870 723730256 808874992 859429679 904662820 1011093740 1447460512 1617749984 1718859358 1809325640 2022187480 3437718716 3618651280 4044374960 4297148395 6875437432 7237302560 8088749920 8594296790 13750874864 17188593580 27501749728 34377187160 68754374320 137508748640