138679272000 has 336 divisors, whose sum is σ = 498216326400. Its totient is φ = 36821836800.

The previous prime is 138679271989. The next prime is 138679272019. The reversal of 138679272000 is 272976831.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17203971 + ... + 17212029.

Almost surely, 2^138679272000 is an apocalyptic number.

138679272000 is a gapful number since it is divisible by the number (10) 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 138679272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249108163200).

138679272000 is an abundant number, since it is smaller than the sum of its proper divisors (359537054400).

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

138679272000 is a wasteful number, since it uses less digits than its factorization.

138679272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8331 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 138679272000 in words is "one hundred thirty-eight billion, six hundred seventy-nine million, two hundred seventy-two thousand".