137520404 has 48 divisors (see below), whose sum is σ = 302131200. Its totient is φ = 53402976.

The previous prime is 137520401. The next prime is 137520431. The reversal of 137520404 is 404025731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137520401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6617 + ... + 17855.

It is an arithmetic number, because the mean of its divisors is an integer number (6294400).

Almost surely, 2^137520404 is an apocalyptic number.

137520404 is a gapful number since it is divisible by the number (14) 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 137520404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151065600).

137520404 is an abundant number, since it is smaller than the sum of its proper divisors (164610796).

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

137520404 is a wasteful number, since it uses less digits than its factorization.

137520404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11292 (or 11290 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 137520404 is about 11726.9093967678. The cubic root of 137520404 is about 516.1655869424.

The spelling of 137520404 in words is "one hundred thirty-seven million, five hundred twenty thousand, four hundred four".