137052090675360 has 576 divisors, whose sum is σ = 539202335293440. Its totient is φ = 31051943516160.

The previous prime is 137052090675349. The next prime is 137052090675397. The reversal of 137052090675360 is 63576090250731.

137052090675360 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 5 + 209 + 0 + 6 + 75 + 360 = 666.

It is a super-2 number, since 2×137052090675360² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137052090675297 and 137052090675306.

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 95 ways as a sum of consecutive naturals, for example, 544728471 + ... + 544980009.

It is an arithmetic number, because the mean of its divisors is an integer number (936115165440).

Almost surely, 2^{137052090675360} is an apocalyptic number.

137052090675360 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 137052090675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269601167646720).

137052090675360 is an abundant number, since it is smaller than the sum of its proper divisors (402150244618080).

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

137052090675360 is a wasteful number, since it uses less digits than its factorization.

137052090675360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252041 (or 252030 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 137052090675360 in words is "one hundred thirty-seven trillion, fifty-two billion, ninety million, six hundred seventy-five thousand, three hundred sixty".