138678624000 has 1296 divisors, whose sum is σ = 601091801856. Its totient is φ = 30578688000.

The previous prime is 138678623981. The next prime is 138678624017. The reversal of 138678624000 is 426876831.

138678624000 is a `hidden beast` number, since 13 + 8 + 6 + 7 + 8 + 624 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 437471842 + ... + 437472158.

Almost surely, 2^138678624000 is an apocalyptic number.

138678624000 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 138678624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300545900928).

138678624000 is an abundant number, since it is smaller than the sum of its proper divisors (462413177856).

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

138678624000 is a wasteful number, since it uses less digits than its factorization.

138678624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 138678624000 in words is "one hundred thirty-eight billion, six hundred seventy-eight million, six hundred twenty-four thousand".