138130795572000 has 4608 divisors, whose sum is σ = 640007491608576. Its totient is φ = 25614876672000.

The previous prime is 138130795571987. The next prime is 138130795572079. The reversal of 138130795572000 is 275597031831.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 488094683859 + ... + 488094684141.

It is an arithmetic number, because the mean of its divisors is an integer number (138890514672).

Almost surely, 2^{138130795572000} is an apocalyptic number.

138130795572000 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 138130795572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320003745804288).

138130795572000 is an abundant number, since it is smaller than the sum of its proper divisors (501876696036576).

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

138130795572000 is a wasteful number, since it uses less digits than its factorization.

138130795572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 138130795572000 in words is "one hundred thirty-eight trillion, one hundred thirty billion, seven hundred ninety-five million, five hundred seventy-two thousand".