137712736 has 72 divisors (see below), whose sum is σ = 320087376. Its totient is φ = 58141440.

The previous prime is 137712647. The next prime is 137712739. The reversal of 137712736 is 637217731.

It is a junction number, because it is equal to n+sod(n) for n = 137712695 and 137712704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137712739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110710 + ... + 111946.

It is an arithmetic number, because the mean of its divisors is an integer number (4445658).

Almost surely, 2^137712736 is an apocalyptic number.

137712736 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 137712736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160043688).

137712736 is an abundant number, since it is smaller than the sum of its proper divisors (182374640).

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

137712736 is a wasteful number, since it uses less digits than its factorization.

137712736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1317 counting only the distinct ones).

The product of its digits is 37044, while the sum is 37.

The square root of 137712736 is about 11735.1069871561. The cubic root of 137712736 is about 516.4061061953.

The spelling of 137712736 in words is "one hundred thirty-seven million, seven hundred twelve thousand, seven hundred thirty-six".