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137538186144 = 2539643148573
BaseRepresentation
bin1000000000010111101…
…0100010101110100000
3111011000021100210000020
42000011322202232200
54223134233424034
6143103440353440
712636216202302
oct2000572425640
9434007323006
10137538186144
11533697a1a37
12227a5315880
13cc7b8428c8
14692a6bb972
15389ea3a249
hex2005ea2ba0

137538186144 has 48 divisors (see below), whose sum is σ = 361077609312. Its totient is φ = 45840999168.

The previous prime is 137538186127. The next prime is 137538186211. The reversal of 137538186144 is 441681835731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851442 + ... + 1000014.

It is an arithmetic number, because the mean of its divisors is an integer number (7522450194).

Almost surely, 2137538186144 is an apocalyptic number.

It is an amenable number.

137538186144 is an abundant number, since it is smaller than the sum of its proper divisors (223539423168).

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

137538186144 is a wasteful number, since it uses less digits than its factorization.

137538186144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158229 (or 158221 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The spelling of 137538186144 in words is "one hundred thirty-seven billion, five hundred thirty-eight million, one hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 9643 19286 28929 38572 57858 77144 115716 148573 154288 231432 297146 308576 445719 462864 594292 891438 925728 1188584 1782876 2377168 3565752 4754336 7131504 14263008 1432689439 2865378878 4298068317 5730757756 8596136634 11461515512 17192273268 22923031024 34384546536 45846062048 68769093072 137538186144