137044672 has 56 divisors (see below), whose sum is σ = 286060896. Its totient is φ = 65015808.

The previous prime is 137044619. The next prime is 137044679. The reversal of 137044672 is 276440731.

It is not an unprimeable number, because it can be changed into a prime (137044679) 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, 230808 + ... + 231400.

Almost surely, 2^137044672 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 137044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143030448).

137044672 is an abundant number, since it is smaller than the sum of its proper divisors (149016224).

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

137044672 is a wasteful number, since it uses less digits than its factorization.

137044672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 137044672 is about 11706.6080484485. The cubic root of 137044672 is about 515.5696991540.

The spelling of 137044672 in words is "one hundred thirty-seven million, forty-four thousand, six hundred seventy-two".