137384928 has 36 divisors (see below), whose sum is σ = 390689208. Its totient is φ = 45794880.

The previous prime is 137384921. The next prime is 137384969. The reversal of 137384928 is 829483731.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137384921) 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, 238228 + ... + 238803.

It is an arithmetic number, because the mean of its divisors is an integer number (10852478).

Almost surely, 2^137384928 is an apocalyptic number.

137384928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137384928 is an abundant number, since it is smaller than the sum of its proper divisors (253304280).

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

137384928 is a wasteful number, since it uses less digits than its factorization.

137384928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477047 (or 477036 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 137384928 is about 11721.1316859764. The cubic root of 137384928 is about 515.9960338617.

The spelling of 137384928 in words is "one hundred thirty-seven million, three hundred eighty-four thousand, nine hundred twenty-eight".