137387712 has 112 divisors (see below), whose sum is σ = 453249792. Its totient is φ = 35681280.

The previous prime is 137387707. The next prime is 137387737. The reversal of 137387712 is 217783731.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10138 + ... + 19430.

Almost surely, 2^137387712 is an apocalyptic number.

137387712 is a gapful number since it is divisible by the number (12) 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 137387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226624896).

137387712 is an abundant number, since it is smaller than the sum of its proper divisors (315862080).

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

137387712 is a wasteful number, since it uses less digits than its factorization.

137387712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326 (or 9316 counting only the distinct ones).

The product of its digits is 49392, while the sum is 39.

The square root of 137387712 is about 11721.2504452383. The cubic root of 137387712 is about 515.9995192592. Note that the first 3 decimals are identical.

The spelling of 137387712 in words is "one hundred thirty-seven million, three hundred eighty-seven thousand, seven hundred twelve".