137392820 has 18 divisors (see below), whose sum is σ = 288635046. Its totient is φ = 54936160.

The previous prime is 137392817. The next prime is 137392841. The reversal of 137392820 is 28293731.

It can be written as a sum of positive squares in 3 ways, for example, as 53523856 + 83868964 = 7316^2 + 9158^2 .

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 5 ways as a sum of consecutive naturals, for example, 51110 + ... + 53730.

Almost surely, 2^137392820 is an apocalyptic number.

137392820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137392820 is an abundant number, since it is smaller than the sum of its proper divisors (151242226).

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

137392820 is an frugal number, since it uses more digits than its factorization.

137392820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 137392820 is about 11721.4683380539. The cubic root of 137392820 is about 516.0059140399.

The spelling of 137392820 in words is "one hundred thirty-seven million, three hundred ninety-two thousand, eight hundred twenty".