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137081180352 = 2633591988759
BaseRepresentation
bin111111110101010101…
…1001101000011000000
3111002211102102110220210
41333222223031003000
54221220240232402
6142550233234120
712621666544014
oct1775253150300
9432742373823
10137081180352
11531548307a6
1222698262940
13cc07c6218c
1468c5b18544
15387486606c
hex1feaacd0c0

137081180352 has 56 divisors (see below), whose sum is σ = 363704428800. Its totient is φ = 45566423296.

The previous prime is 137081180351. The next prime is 137081180387. The reversal of 137081180352 is 253081180731.

It is a self number, because there is not a number n which added to its sum of digits gives 137081180352.

It is not an unprimeable number, because it can be changed into a prime (137081180351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925452 + ... + 1063307.

Almost surely, 2137081180352 is an apocalyptic number.

137081180352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137081180352 is an abundant number, since it is smaller than the sum of its proper divisors (226623248448).

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

137081180352 is a wasteful number, since it uses less digits than its factorization.

137081180352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989133 (or 1989123 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 137081180352 in words is "one hundred thirty-seven billion, eighty-one million, one hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 359 718 1077 1436 2154 2872 4308 5744 8616 11488 17232 22976 34464 68928 1988759 3977518 5966277 7955036 11932554 15910072 23865108 31820144 47730216 63640288 95460432 127280576 190920864 381841728 713964481 1427928962 2141893443 2855857924 4283786886 5711715848 8567573772 11423431696 17135147544 22846863392 34270295088 45693726784 68540590176 137081180352