138376512 has 70 divisors (see below), whose sum is σ = 410206698. Its totient is φ = 46123776.

The previous prime is 138376501. The next prime is 138376519. The reversal of 138376512 is 215673831.

138376512 is a `hidden beast` number, since 138 + 3 + 7 + 6 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 66194496 = 8496^2 + 8136^2 .

It is a super-2 number, since 2×138376512² = 38296118146572288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138376519) 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 9 ways as a sum of consecutive naturals, for example, 8163 + ... + 18530.

Almost surely, 2^138376512 is an apocalyptic number.

138376512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138376512 is an abundant number, since it is smaller than the sum of its proper divisors (271830186).

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

138376512 is an equidigital number, since it uses as much as digits as its factorization.

138376512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26717 (or 26698 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 138376512 is about 11763.3546235757. The cubic root of 138376512 is about 517.2344699546.

The spelling of 138376512 in words is "one hundred thirty-eight million, three hundred seventy-six thousand, five hundred twelve".