137335540 has 12 divisors (see below), whose sum is σ = 288404676. Its totient is φ = 54934208.

The previous prime is 137335489. The next prime is 137335589. The reversal of 137335540 is 45533731.

137335540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 84162276 + 53173264 = 9174^2 + 7292^2 .

It is a super-2 number, since 2×137335540² = 37722101094183200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3433369 + ... + 3433408.

It is an arithmetic number, because the mean of its divisors is an integer number (24033723).

Almost surely, 2^137335540 is an apocalyptic number.

137335540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137335540 is an abundant number, since it is smaller than the sum of its proper divisors (151069136).

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

137335540 is a wasteful number, since it uses less digits than its factorization.

137335540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866786 (or 6866784 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 31.

The square root of 137335540 is about 11719.0247034470. The cubic root of 137335540 is about 515.9341952820.

The spelling of 137335540 in words is "one hundred thirty-seven million, three hundred thirty-five thousand, five hundred forty".