138732292512 has 648 divisors, whose sum is σ = 464401986048. Its totient is φ = 40739086080.

The previous prime is 138732292487. The next prime is 138732292537. The reversal of 138732292512 is 215292237831.

138732292512 is a `hidden beast` number, since 1 + 3 + 87 + 32 + 29 + 2 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (138732292487) and next prime (138732292537).

It is a tau number, because it is divible by the number of its divisors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1092380193 + ... + 1092380319.

Almost surely, 2^138732292512 is an apocalyptic number.

138732292512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138732292512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232200993024).

138732292512 is an abundant number, since it is smaller than the sum of its proper divisors (325669693536).

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

138732292512 is an equidigital number, since it uses as much as digits as its factorization.

138732292512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 186 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 138732292512 in words is "one hundred thirty-eight billion, seven hundred thirty-two million, two hundred ninety-two thousand, five hundred twelve".