137029384 has 32 divisors (see below), whose sum is σ = 275124600. Its totient is φ = 63754240.

The previous prime is 137029381. The next prime is 137029411. The reversal of 137029384 is 483920731.

It can be written as a sum of positive squares in 4 ways, for example, as 85045284 + 51984100 = 9222^2 + 7210^2 .

It is not an unprimeable number, because it can be changed into a prime (137029381) 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, 6444 + ... + 17764.

Almost surely, 2^137029384 is an apocalyptic number.

It is an amenable number.

137029384 is an abundant number, since it is smaller than the sum of its proper divisors (138095216).

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

137029384 is a wasteful number, since it uses less digits than its factorization.

137029384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 137029384 is about 11705.9550656920. The cubic root of 137029384 is about 515.5505270048.

The spelling of 137029384 in words is "one hundred thirty-seven million, twenty-nine thousand, three hundred eighty-four".