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137159601712 = 24723137388651
BaseRepresentation
bin111111110111101011…
…0010110111000110000
3111010000212222200210121
41333233112112320300
54221400324223322
6143002114140024
712623641243510
oct1775726267060
9433025880717
10137159601712
1153195023941
12226ba581614
13cc1b28bb53
1468d22cd840
15387b6a6ec7
hex1fef596e30

137159601712 has 80 divisors (see below), whose sum is σ = 319229425152. Its totient is φ = 55816358400.

The previous prime is 137159601703. The next prime is 137159601737. The reversal of 137159601712 is 217106951731.

137159601712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 158587 + ... + 547237.

Almost surely, 2137159601712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137159601712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159614712576).

137159601712 is an abundant number, since it is smaller than the sum of its proper divisors (182069823440).

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

137159601712 is a wasteful number, since it uses less digits than its factorization.

137159601712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388826 (or 388820 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 43.

The spelling of 137159601712 in words is "one hundred thirty-seven billion, one hundred fifty-nine million, six hundred one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 137 161 184 274 322 368 548 644 959 1096 1288 1918 2192 2576 3151 3836 6302 7672 12604 15344 22057 25208 44114 50416 88228 176456 352912 388651 777302 1554604 2720557 3109208 5441114 6218416 8938973 10882228 17877946 21764456 35755892 43528912 53245187 62572811 71511784 106490374 125145622 143023568 212980748 250291244 372716309 425961496 500582488 745432618 851922992 1001164976 1224639301 1490865236 2449278602 2981730472 4898557204 5963460944 8572475107 9797114408 17144950214 19594228816 34289900428 68579800856 137159601712