137508390 has 48 divisors (see below), whose sum is σ = 358205328. Its totient is φ = 36598848.

The previous prime is 137508389. The next prime is 137508419. The reversal of 137508390 is 93805731.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 60352 + ... + 62588.

It is an arithmetic number, because the mean of its divisors is an integer number (7462611).

Almost surely, 2^137508390 is an apocalyptic number.

137508390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137508390 is an abundant number, since it is smaller than the sum of its proper divisors (220696938).

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

137508390 is a wasteful number, since it uses less digits than its factorization.

137508390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 137508390 is about 11726.3971449035. The cubic root of 137508390 is about 516.1505554906.

The spelling of 137508390 in words is "one hundred thirty-seven million, five hundred eight thousand, three hundred ninety".