138074112000 has 960 divisors, whose sum is σ = 559419194880. Its totient is φ = 33325056000.

The previous prime is 138074111999. The next prime is 138074112031. The reversal of 138074112000 is 211470831.

138074112000 is a `hidden beast` number, since 1 + 380 + 74 + 11 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608255887 + ... + 608256113.

It is an arithmetic number, because the mean of its divisors is an integer number (582728328).

Almost surely, 2^138074112000 is an apocalyptic number.

138074112000 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 138074112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279709597440).

138074112000 is an abundant number, since it is smaller than the sum of its proper divisors (421345082880).

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

138074112000 is an equidigital number, since it uses as much as digits as its factorization.

138074112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 138074112000 its reverse (211470831), we get a palindrome (138285582831).

The spelling of 138074112000 in words is "one hundred thirty-eight billion, seventy-four million, one hundred twelve thousand".