137536540 has 12 divisors (see below), whose sum is σ = 288826776. Its totient is φ = 55014608.

The previous prime is 137536519. The next prime is 137536541. The reversal of 137536540 is 45635731.

It is a junction number, because it is equal to n+sod(n) for n = 137536496 and 137536505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137536541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3438394 + ... + 3438433.

It is an arithmetic number, because the mean of its divisors is an integer number (24068898).

Almost surely, 2^137536540 is an apocalyptic number.

137536540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137536540 is an abundant number, since it is smaller than the sum of its proper divisors (151290236).

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

137536540 is a wasteful number, since it uses less digits than its factorization.

137536540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876836 (or 6876834 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 137536540 is about 11727.5973668949. The cubic root of 137536540 is about 516.1857743035.

The spelling of 137536540 in words is "one hundred thirty-seven million, five hundred thirty-six thousand, five hundred forty".