137508420 has 48 divisors (see below), whose sum is σ = 440028288. Its totient is φ = 31430400.

The previous prime is 137508419. The next prime is 137508433. The reversal of 137508420 is 24805731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163281 + ... + 164120.

It is an arithmetic number, because the mean of its divisors is an integer number (9167256).

Almost surely, 2^137508420 is an apocalyptic number.

137508420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137508420 is an abundant number, since it is smaller than the sum of its proper divisors (302519868).

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

137508420 is a wasteful number, since it uses less digits than its factorization.

137508420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327420 (or 327418 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 137508420 is about 11726.3984240687. The cubic root of 137508420 is about 516.1505930266.

The spelling of 137508420 in words is "one hundred thirty-seven million, five hundred eight thousand, four hundred twenty".