137356704 has 72 divisors (see below), whose sum is σ = 391793220. Its totient is φ = 45646848.

The previous prime is 137356699. The next prime is 137356717. The reversal of 137356704 is 407653731.

It can be written as a sum of positive squares in 2 ways, for example, as 135769104 + 1587600 = 11652^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146124 + ... + 147060.

Almost surely, 2^137356704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137356704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195896610).

137356704 is an abundant number, since it is smaller than the sum of its proper divisors (254436516).

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

137356704 is a wasteful number, since it uses less digits than its factorization.

137356704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 137356704 is about 11719.9276448278. The cubic root of 137356704 is about 515.9606964835.

The spelling of 137356704 in words is "one hundred thirty-seven million, three hundred fifty-six thousand, seven hundred four".