137747328 has 64 divisors (see below), whose sum is σ = 387432720. Its totient is φ = 43212800.

The previous prime is 137747327. The next prime is 137747329. The reversal of 137747328 is 823747731.

137747328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137747327) and next prime (137747329).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×137747328² = 37948652742279168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137747328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137747327) 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, 4023 + ... + 17078.

Almost surely, 2^137747328 is an apocalyptic number.

It is an amenable number.

137747328 is an abundant number, since it is smaller than the sum of its proper divisors (249685392).

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

137747328 is a wasteful number, since it uses less digits than its factorization.

137747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21135 (or 21123 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 137747328 is about 11736.5807627264. The cubic root of 137747328 is about 516.4493411810.

It can be divided in two parts, 137747 and 328, that added together give a triangular number (138075 = T₅₂₅).

The spelling of 137747328 in words is "one hundred thirty-seven million, seven hundred forty-seven thousand, three hundred twenty-eight".