137230560 has 144 divisors (see below), whose sum is σ = 472058496. Its totient is φ = 36301824.

The previous prime is 137230517. The next prime is 137230573. The reversal of 137230560 is 65032731.

It is a happy number.

137230560 is a `hidden beast` number, since 1 + 3 + 72 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 225777 + ... + 226383.

It is an arithmetic number, because the mean of its divisors is an integer number (3278184).

Almost surely, 2^137230560 is an apocalyptic number.

137230560 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 137230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236029248).

137230560 is an abundant number, since it is smaller than the sum of its proper divisors (334827936).

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

137230560 is a wasteful number, since it uses less digits than its factorization.

137230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 137230560 is about 11714.5448054971. The cubic root of 137230560 is about 515.8027008452.

The spelling of 137230560 in words is "one hundred thirty-seven million, two hundred thirty thousand, five hundred sixty".