137089344 has 56 divisors (see below), whose sum is σ = 414536128. Its totient is φ = 39168000.

The previous prime is 137089331. The next prime is 137089349. The reversal of 137089344 is 443980731.

137089344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137089349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49657 + ... + 52344.

Almost surely, 2^137089344 is an apocalyptic number.

137089344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137089344 is an abundant number, since it is smaller than the sum of its proper divisors (277446784).

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

137089344 is a wasteful number, since it uses less digits than its factorization.

137089344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102023 (or 102013 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 137089344 is about 11708.5158752081. The cubic root of 137089344 is about 515.6257125867.

The spelling of 137089344 in words is "one hundred thirty-seven million, eighty-nine thousand, three hundred forty-four".