137075151794656 has 48 divisors (see below), whose sum is σ = 277533430411104. Its totient is φ = 66595457263104.

The previous prime is 137075151794617. The next prime is 137075151794671. The reversal of 137075151794656 is 656497151570731.

It is a super-3 number, since 3×137075151794656³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137075151794591 and 137075151794600.

It is a congruent number.

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, 77029395 + ... + 78788818.

It is an arithmetic number, because the mean of its divisors is an integer number (5781946466898).

Almost surely, 2^{137075151794656} is an apocalyptic number.

137075151794656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137075151794656 is an abundant number, since it is smaller than the sum of its proper divisors (140458278616448).

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

137075151794656 is a wasteful number, since it uses less digits than its factorization.

137075151794656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155819003 (or 155818995 counting only the distinct ones).

The product of its (nonzero) digits is 166698000, while the sum is 67.

The spelling of 137075151794656 in words is "one hundred thirty-seven trillion, seventy-five billion, one hundred fifty-one million, seven hundred ninety-four thousand, six hundred fifty-six".