137288728 has 16 divisors (see below), whose sum is σ = 260676000. Its totient is φ = 67775136.

The previous prime is 137288713. The next prime is 137288731. The reversal of 137288728 is 827882731.

It is a super-3 number, since 3×137288728³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107983 + ... + 109246.

It is an arithmetic number, because the mean of its divisors is an integer number (16292250).

Almost surely, 2^137288728 is an apocalyptic number.

It is an amenable number.

137288728 is a deficient number, since it is larger than the sum of its proper divisors (123387272).

137288728 is a wasteful number, since it uses less digits than its factorization.

137288728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217314 (or 217310 counting only the distinct ones).

The product of its digits is 301056, while the sum is 46.

The square root of 137288728 is about 11717.0272680403. The cubic root of 137288728 is about 515.8755684177.

It can be divided in two parts, 1372 and 88728, that added together give a triangular number (90100 = T₄₂₄).

The spelling of 137288728 in words is "one hundred thirty-seven million, two hundred eighty-eight thousand, seven hundred twenty-eight".