137386620 has 72 divisors (see below), whose sum is σ = 476277984. Its totient is φ = 31402368.

The previous prime is 137386589. The next prime is 137386621. The reversal of 137386620 is 26683731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137386621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53259 + ... + 55778.

It is an arithmetic number, because the mean of its divisors is an integer number (6614972).

Almost surely, 2^137386620 is an apocalyptic number.

137386620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137386620 is an abundant number, since it is smaller than the sum of its proper divisors (338891364).

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

137386620 is a wasteful number, since it uses less digits than its factorization.

137386620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109059 (or 109054 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 137386620 is about 11721.2038630851. The cubic root of 137386620 is about 515.9981521477.

The spelling of 137386620 in words is "one hundred thirty-seven million, three hundred eighty-six thousand, six hundred twenty".