137275304320 has 512 divisors, whose sum is σ = 425975500800. Its totient is φ = 41060597760.

The previous prime is 137275304279. The next prime is 137275304359. The reversal of 137275304320 is 23403572731.

It is a super-2 number, since 2×137275304320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 137275304320.

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, 144044964 + ... + 144045916.

It is an arithmetic number, because the mean of its divisors is an integer number (831983400).

Almost surely, 2^137275304320 is an apocalyptic number.

137275304320 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 137275304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212987750400).

137275304320 is an abundant number, since it is smaller than the sum of its proper divisors (288700196480).

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

137275304320 is a wasteful number, since it uses less digits than its factorization.

137275304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

The spelling of 137275304320 in words is "one hundred thirty-seven billion, two hundred seventy-five million, three hundred four thousand, three hundred twenty".