137284928 has 56 divisors (see below), whose sum is σ = 314699904. Its totient is φ = 58726400.

The previous prime is 137284921. The next prime is 137284949. The reversal of 137284928 is 829482731.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137284921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6233 + ... + 17703.

Almost surely, 2^137284928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157349952).

137284928 is an abundant number, since it is smaller than the sum of its proper divisors (177414976).

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

137284928 is a wasteful number, since it uses less digits than its factorization.

137284928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11511 (or 11501 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 137284928 is about 11716.8651097467. The cubic root of 137284928 is about 515.8708087523.

The spelling of 137284928 in words is "one hundred thirty-seven million, two hundred eighty-four thousand, nine hundred twenty-eight".