133152982872 has 512 divisors, whose sum is σ = 443971584000. Its totient is φ = 32328253440.

The previous prime is 133152982861. The next prime is 133152982873. The reversal of 133152982872 is 278289251331.

It is a super-2 number, since 2×133152982872² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133152982873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143328904 + ... + 143329832.

It is an arithmetic number, because the mean of its divisors is an integer number (867132000).

Almost surely, 2^133152982872 is an apocalyptic number.

133152982872 is a gapful number since it is divisible by the number (12) 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 133152982872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221985792000).

133152982872 is an abundant number, since it is smaller than the sum of its proper divisors (310818601128).

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

133152982872 is a wasteful number, since it uses less digits than its factorization.

133152982872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1087 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The spelling of 133152982872 in words is "one hundred thirty-three billion, one hundred fifty-two million, nine hundred eighty-two thousand, eight hundred seventy-two".