137305540 has 12 divisors (see below), whose sum is σ = 288341676. Its totient is φ = 54922208.

The previous prime is 137305523. The next prime is 137305543. The reversal of 137305540 is 45503731.

It can be written as a sum of positive squares in 2 ways, for example, as 80030916 + 57274624 = 8946^2 + 7568^2 .

It is a super-2 number, since 2×137305540² = 37705622629383200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137305499 and 137305508.

It is not an unprimeable number, because it can be changed into a prime (137305543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3432619 + ... + 3432658.

It is an arithmetic number, because the mean of its divisors is an integer number (24028473).

Almost surely, 2^137305540 is an apocalyptic number.

137305540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137305540 is an abundant number, since it is smaller than the sum of its proper divisors (151036136).

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

137305540 is a wasteful number, since it uses less digits than its factorization.

137305540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865286 (or 6865284 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 137305540 is about 11717.7446635434. The cubic root of 137305540 is about 515.8966251260.

The spelling of 137305540 in words is "one hundred thirty-seven million, three hundred five thousand, five hundred forty".