137604136320 has 1152 divisors, whose sum is σ = 591083064000. Its totient is φ = 29479403520.

The previous prime is 137604136289. The next prime is 137604136331. The reversal of 137604136320 is 23631406731.

137604136320 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 0 + 4 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 570971400 + ... + 570971640.

Almost surely, 2^137604136320 is an apocalyptic number.

137604136320 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 137604136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295541532000).

137604136320 is an abundant number, since it is smaller than the sum of its proper divisors (453478927680).

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

137604136320 is a wasteful number, since it uses less digits than its factorization.

137604136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 137604136320 in words is "one hundred thirty-seven billion, six hundred four million, one hundred thirty-six thousand, three hundred twenty".