138087516 has 96 divisors (see below), whose sum is σ = 400261120. Its totient is φ = 36158400.

The previous prime is 138087511. The next prime is 138087517. The reversal of 138087516 is 615780831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138087511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48081 + ... + 50871.

Almost surely, 2^138087516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138087516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200130560).

138087516 is an abundant number, since it is smaller than the sum of its proper divisors (262173604).

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

138087516 is a wasteful number, since it uses less digits than its factorization.

138087516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 138087516 is about 11751.0644624221. The cubic root of 138087516 is about 516.8741417638.

The spelling of 138087516 in words is "one hundred thirty-eight million, eighty-seven thousand, five hundred sixteen".