138156516 has 45 divisors (see below), whose sum is σ = 361722361. Its totient is φ = 45981648.

The previous prime is 138156509. The next prime is 138156527. The reversal of 138156516 is 615651831.

The square root of 138156516 is 11754.

It is a perfect power (a square), and thus also a powerful number.

138156516 is a `hidden beast` number, since 1 + 3 + 81 + 565 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32148900 + 106007616 = 5670^2 + 10296^2 .

It is a super-3 number, since 3×138156516³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 211246 + ... + 211898.

Almost surely, 2^138156516 is an apocalyptic number.

138156516 is the 11754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138156516

138156516 is an abundant number, since it is smaller than the sum of its proper divisors (223565845).

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

138156516 is an frugal number, since it uses more digits than its factorization.

138156516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 658 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The cubic root of 138156516 is about 516.9602185219.

Multiplying 138156516 by its sum of digits (36), we get a square (4973634576 = 70524²).

138156516 divided by its sum of digits (36) gives a square (3837681 = 1959²).

The spelling of 138156516 in words is "one hundred thirty-eight million, one hundred fifty-six thousand, five hundred sixteen".