138024879132672 has 624 divisors, whose sum is σ = 488556407139840. Its totient is φ = 36646019923968.

The previous prime is 138024879132667. The next prime is 138024879132713. The reversal of 138024879132672 is 276231978420831.

It is a happy number.

138024879132672 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 2 + 487 + 91 + 3 + 2 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346359328 + ... + 346757600.

It is an arithmetic number, because the mean of its divisors is an integer number (782942960160).

Almost surely, 2^{138024879132672} is an apocalyptic number.

138024879132672 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 138024879132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244278203569920).

138024879132672 is an abundant number, since it is smaller than the sum of its proper divisors (350531528007168).

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

138024879132672 is a wasteful number, since it uses less digits than its factorization.

138024879132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398406 (or 398381 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 138024879132672 in words is "one hundred thirty-eight trillion, twenty-four billion, eight hundred seventy-nine million, one hundred thirty-two thousand, six hundred seventy-two".