137372976 has 160 divisors (see below), whose sum is σ = 432680640. Its totient is φ = 41472000.

The previous prime is 137372969. The next prime is 137372993. The reversal of 137372976 is 679273731.

It is a super-3 number, since 3×137372976³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342376 + ... + 342776.

It is an arithmetic number, because the mean of its divisors is an integer number (2704254).

Almost surely, 2^137372976 is an apocalyptic number.

137372976 is a gapful number since it is divisible by the number (16) 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 137372976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216340320).

137372976 is an abundant number, since it is smaller than the sum of its proper divisors (295307664).

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

137372976 is a wasteful number, since it uses less digits than its factorization.

137372976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The square root of 137372976 is about 11720.6218265073. The cubic root of 137372976 is about 515.9810701547.

The spelling of 137372976 in words is "one hundred thirty-seven million, three hundred seventy-two thousand, nine hundred seventy-six".