138567084516 has 81 divisors (see below), whose sum is σ = 407499190371. Its totient is φ = 39586128624.

The previous prime is 138567084511. The next prime is 138567084521. The reversal of 138567084516 is 615480765831.

It is a happy number.

The square root of 138567084516 is 372246.

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

138567084516 is a `hidden beast` number, since 1 + 3 + 8 + 56 + 70 + 8 + 4 + 516 = 666.

It is an interprime number because it is at equal distance from previous prime (138567084511) and next prime (138567084521).

It is a super-2 number, since 2×138567084516² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138567084511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15629901 + ... + 15638763.

Almost surely, 2^138567084516 is an apocalyptic number.

138567084516 is the 372246-th square number.

It is an amenable number.

138567084516 is an abundant number, since it is smaller than the sum of its proper divisors (268932105855).

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

138567084516 is an frugal number, since it uses more digits than its factorization.

138567084516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17750 (or 8875 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 138567084516 in words is "one hundred thirty-eight billion, five hundred sixty-seven million, eighty-four thousand, five hundred sixteen".