137036928 has 96 divisors (see below), whose sum is σ = 423491760. Its totient is φ = 39148032.

The previous prime is 137036917. The next prime is 137036929. The reversal of 137036928 is 829630731.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (137036929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15175 + ... + 22457.

Almost surely, 2^137036928 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 137036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211745880).

137036928 is an abundant number, since it is smaller than the sum of its proper divisors (286454832).

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

137036928 is an equidigital number, since it uses as much as digits as its factorization.

137036928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 137036928 is about 11706.2772904113. The cubic root of 137036928 is about 515.5599878511.

The spelling of 137036928 in words is "one hundred thirty-seven million, thirty-six thousand, nine hundred twenty-eight".