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137349238680 = 23335127175221
BaseRepresentation
bin111111111101010100…
…1110000111110011000
3111010112002211020211000
41333322221300332120
54222242401114210
6143033010505000
712631433160123
oct1777251607630
9433462736730
10137349238680
1153282078a05
1222751b95160
13cc4b658284
14690d5753ba
15388d165ac0
hex1ffaa70f98

137349238680 has 64 divisors (see below), whose sum is σ = 457830799200. Its totient is φ = 36626463360.

The previous prime is 137349238639. The next prime is 137349238723. The reversal of 137349238680 is 86832943731.

137349238680 is a `hidden beast` number, since 1 + 3 + 7 + 349 + 238 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63586531 + ... + 63588690.

Almost surely, 2137349238680 is an apocalyptic number.

137349238680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137349238680 is an abundant number, since it is smaller than the sum of its proper divisors (320481560520).

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

137349238680 is a wasteful number, since it uses less digits than its factorization.

137349238680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127175241 (or 127175231 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 137349238680 in words is "one hundred thirty-seven billion, three hundred forty-nine million, two hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 127175221 254350442 381525663 508700884 635876105 763051326 1017401768 1144576989 1271752210 1526102652 1907628315 2289153978 2543504420 3052205304 3433730967 3815256630 4578307956 5087008840 5722884945 6867461934 7630513260 9156615912 11445769890 13734923868 15261026520 17168654835 22891539780 27469847736 34337309670 45783079560 68674619340 137349238680