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137054132656 = 24773162710303
BaseRepresentation
bin111111110100100010…
…0000001100110110000
3111002202112112022110021
41333221010001212300
54221141324221111
6142543425413224
712621220622530
oct1775104014660
9432675468407
10137054132656
1153140537431
122268b19a214
13cc02481c1c
1468c22b74c0
1538722c1d71
hex1fe91019b0

137054132656 has 80 divisors (see below), whose sum is σ = 307853185024. Its totient is φ = 57891635712.

The previous prime is 137054132647. The next prime is 137054132671. The reversal of 137054132656 is 656231450731.

It is a super-2 number, since 2×1370541326562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13297201 + ... + 13307503.

Almost surely, 2137054132656 is an apocalyptic number.

137054132656 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 137054132656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153926592512).

137054132656 is an abundant number, since it is smaller than the sum of its proper divisors (170799052368).

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

137054132656 is a wasteful number, since it uses less digits than its factorization.

137054132656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12018 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 137054132656 in words is "one hundred thirty-seven billion, fifty-four million, one hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 1627 2044 3254 4088 6508 8176 10303 11389 13016 20606 22778 26032 41212 45556 72121 82424 91112 118771 144242 164848 182224 237542 288484 475084 576968 752119 831397 950168 1153936 1504238 1662794 1900336 3008476 3325588 5264833 6016952 6651176 10529666 12033904 13302352 16762981 21059332 33525962 42118664 67051924 84237328 117340867 134103848 234681734 268207696 469363468 938726936 1223697613 1877453872 2447395226 4894790452 8565883291 9789580904 17131766582 19579161808 34263533164 68527066328 137054132656