138856017600 has 252 divisors, whose sum is σ = 497301210120. Its totient is φ = 36745113600.

The previous prime is 138856017551. The next prime is 138856017613. The reversal of 138856017600 is 6710658831.

138856017600 is a `hidden beast` number, since 1 + 3 + 88 + 560 + 1 + 7 + 6 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1849596 + ... + 1923204.

Almost surely, 2^138856017600 is an apocalyptic number.

138856017600 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 138856017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248650605060).

138856017600 is an abundant number, since it is smaller than the sum of its proper divisors (358445192520).

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

138856017600 is a wasteful number, since it uses less digits than its factorization.

138856017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73768 (or 73750 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 138856017600 in words is "one hundred thirty-eight billion, eight hundred fifty-six million, seventeen thousand, six hundred".