188072133120 has 320 divisors, whose sum is σ = 674559325440. Its totient is φ = 49663770624.

The previous prime is 188072133037. The next prime is 188072133157. The reversal of 188072133120 is 21331270881.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×188072133120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7106152 + ... + 7132568.

It is an arithmetic number, because the mean of its divisors is an integer number (2107997892).

Almost surely, 2^188072133120 is an apocalyptic number.

188072133120 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 188072133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337279662720).

188072133120 is an abundant number, since it is smaller than the sum of its proper divisors (486487192320).

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

188072133120 is a wasteful number, since it uses less digits than its factorization.

188072133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26552 (or 26530 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 188072133120 in words is "one hundred eighty-eight billion, seventy-two million, one hundred thirty-three thousand, one hundred twenty".