137353052079360 has 864 divisors, whose sum is σ = 524521708978176. Its totient is φ = 32969244672000.

The previous prime is 137353052079317. The next prime is 137353052079437. The reversal of 137353052079360 is 63970250353731.

137353052079360 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 53 + 0 + 520 + 7 + 9 + 3 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137353052079297 and 137353052079306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16768772865 + ... + 16768781055.

Almost surely, 2^{137353052079360} is an apocalyptic number.

137353052079360 is a gapful number since it is divisible by the number (10) 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 137353052079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262260854489088).

137353052079360 is an abundant number, since it is smaller than the sum of its proper divisors (387168656898816).

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

137353052079360 is a wasteful number, since it uses less digits than its factorization.

137353052079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11003 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 54.

The spelling of 137353052079360 in words is "one hundred thirty-seven trillion, three hundred fifty-three billion, fifty-two million, seventy-nine thousand, three hundred sixty".