137405620 has 48 divisors (see below), whose sum is σ = 315604800. Its totient is φ = 49835520.

The previous prime is 137405617. The next prime is 137405623. The reversal of 137405620 is 26504731.

It is an interprime number because it is at equal distance from previous prime (137405617) and next prime (137405623).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137405623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135676 + ... + 136684.

It is an arithmetic number, because the mean of its divisors is an integer number (6575100).

Almost surely, 2^137405620 is an apocalyptic number.

137405620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137405620 is an abundant number, since it is smaller than the sum of its proper divisors (178199180).

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

137405620 is a wasteful number, since it uses less digits than its factorization.

137405620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 137405620 is about 11722.0143320165. The cubic root of 137405620 is about 516.0219378530.

The spelling of 137405620 in words is "one hundred thirty-seven million, four hundred five thousand, six hundred twenty".