138540516 has 48 divisors (see below), whose sum is σ = 334853568. Its totient is φ = 44553600.

The previous prime is 138540503. The next prime is 138540527. The reversal of 138540516 is 615045831.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37011 + ... + 40581.

It is an arithmetic number, because the mean of its divisors is an integer number (6976116).

Almost surely, 2^138540516 is an apocalyptic number.

It is an amenable number.

138540516 is an abundant number, since it is smaller than the sum of its proper divisors (196313052).

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

138540516 is a wasteful number, since it uses less digits than its factorization.

138540516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 138540516 is about 11770.3235299630. The cubic root of 138540516 is about 517.4387315736.

The spelling of 138540516 in words is "one hundred thirty-eight million, five hundred forty thousand, five hundred sixteen".