137628 has 18 divisors (see below), whose sum is σ = 347984. Its totient is φ = 45864.

The previous prime is 137623. The next prime is 137633. The reversal of 137628 is 826731.

137628 is a `hidden beast` number, since 1 + 37 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (137623) and next prime (137633).

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1876 + ... + 1947.

137628 is a Friedman number, since it can be written as 21*(3^8-7)-6, using all its digits and the basic arithmetic operations.

2¹³⁷⁶²⁸ is an apocalyptic number.

137628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137628 is an abundant number, since it is smaller than the sum of its proper divisors (210356).

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

137628 is a wasteful number, since it uses less digits than its factorization.

137628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833 (or 3828 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 137628 is about 370.9824793707. The cubic root of 137628 is about 51.6300167880.

The spelling of 137628 in words is "one hundred thirty-seven thousand, six hundred twenty-eight".