137328 has 20 divisors (see below), whose sum is σ = 354888. Its totient is φ = 45760.

The previous prime is 137321. The next prime is 137339. The reversal of 137328 is 823731.

It is a super-4 number, since 4×137328⁴ (a number of 22 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 137298 and 137307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1383 + ... + 1478.

2¹³⁷³²⁸ is an apocalyptic number.

It is an amenable number.

137328 is an abundant number, since it is smaller than the sum of its proper divisors (217560).

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

137328 is a wasteful number, since it uses less digits than its factorization.

137328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2866 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 137328 is about 370.5779270275. The cubic root of 137328 is about 51.5924753164.

It can be divided in two parts, 137 and 328, that added together give a triangular number (465 = T₃₀).

The spelling of 137328 in words is "one hundred thirty-seven thousand, three hundred twenty-eight".