137964500 has 24 divisors (see below), whose sum is σ = 301315560. Its totient is φ = 55185600.

The previous prime is 137964487. The next prime is 137964517. The reversal of 137964500 is 5469731.

It can be written as a sum of positive squares in 4 ways, for example, as 8596624 + 129367876 = 2932^2 + 11374^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137465 + ... + 138464.

It is an arithmetic number, because the mean of its divisors is an integer number (12554815).

Almost surely, 2^137964500 is an apocalyptic number.

137964500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137964500 is an abundant number, since it is smaller than the sum of its proper divisors (163351060).

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

137964500 is a wasteful number, since it uses less digits than its factorization.

137964500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275948 (or 275936 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 137964500 is about 11745.8290469426. The cubic root of 137964500 is about 516.7206094679.

The spelling of 137964500 in words is "one hundred thirty-seven million, nine hundred sixty-four thousand, five hundred".