137294928 has 30 divisors (see below), whose sum is σ = 384235514. Its totient is φ = 45764928.

The previous prime is 137294917. The next prime is 137294933. The reversal of 137294928 is 829492731.

137294928 is a `hidden beast` number, since 137 + 29 + 492 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136609344 + 685584 = 11688^2 + 828^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 476575 + ... + 476862.

Almost surely, 2^137294928 is an apocalyptic number.

137294928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137294928 is an abundant number, since it is smaller than the sum of its proper divisors (246940586).

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

137294928 is a wasteful number, since it uses less digits than its factorization.

137294928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953451 (or 953442 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 137294928 is about 11717.2918372805. The cubic root of 137294928 is about 515.8833339991.

The spelling of 137294928 in words is "one hundred thirty-seven million, two hundred ninety-four thousand, nine hundred twenty-eight".