137327187765120 has 512 divisors, whose sum is σ = 462127157452800. Its totient is φ = 34591028060160.

The previous prime is 137327187765113. The next prime is 137327187765167. The reversal of 137327187765120 is 21567781723731.

It is a super-2 number, since 2×137327187765120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43035782725 + ... + 43035785915.

It is an arithmetic number, because the mean of its divisors is an integer number (902592104400).

Almost surely, 2^{137327187765120} is an apocalyptic number.

137327187765120 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 137327187765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231063578726400).

137327187765120 is an abundant number, since it is smaller than the sum of its proper divisors (324799969687680).

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

137327187765120 is a wasteful number, since it uses less digits than its factorization.

137327187765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 60.

The spelling of 137327187765120 in words is "one hundred thirty-seven trillion, three hundred twenty-seven billion, one hundred eighty-seven million, seven hundred sixty-five thousand, one hundred twenty".