137003432364 has 72 divisors (see below), whose sum is σ = 347659760448. Its totient is φ = 45490572000.

The previous prime is 137003432311. The next prime is 137003432369. The reversal of 137003432364 is 463234300731.

137003432364 is a `hidden beast` number, since 13 + 70 + 0 + 343 + 236 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (137003432369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24875299 + ... + 24880805.

It is an arithmetic number, because the mean of its divisors is an integer number (4828607784).

Almost surely, 2^137003432364 is an apocalyptic number.

It is an amenable number.

137003432364 is an abundant number, since it is smaller than the sum of its proper divisors (210656328084).

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

137003432364 is a wasteful number, since it uses less digits than its factorization.

137003432364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8075 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 137003432364 in words is "one hundred thirty-seven billion, three million, four hundred thirty-two thousand, three hundred sixty-four".