138615674400 has 432 divisors, whose sum is σ = 591484892544. Its totient is φ = 29819658240.

The previous prime is 138615674363. The next prime is 138615674473. The reversal of 138615674400 is 4476516831.

138615674400 is a `hidden beast` number, since 1 + 3 + 86 + 1 + 567 + 4 + 4 + 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 71 ways as a sum of consecutive naturals, for example, 775909 + ... + 937691.

It is an arithmetic number, because the mean of its divisors is an integer number (1369177992).

Almost surely, 2^138615674400 is an apocalyptic number.

138615674400 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 138615674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295742446272).

138615674400 is an abundant number, since it is smaller than the sum of its proper divisors (452869218144).

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

138615674400 is a wasteful number, since it uses less digits than its factorization.

138615674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161833 (or 161817 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 138615674400 in words is "one hundred thirty-eight billion, six hundred fifteen million, six hundred seventy-four thousand, four hundred".