133162554979584 has 864 divisors, whose sum is σ = 437693398990848. Its totient is φ = 38642614272000.

The previous prime is 133162554979547. The next prime is 133162554979591. The reversal of 133162554979584 is 485979455261331.

133162554979584 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 6 + 2 + 5 + 549 + 79 + 5 + 8 + 4 = 666.

It is a super-3 number, since 3×133162554979584³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63080318689 + ... + 63080320799.

Almost surely, 2^{133162554979584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133162554979584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218846699495424).

133162554979584 is an abundant number, since it is smaller than the sum of its proper divisors (304530844011264).

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

133162554979584 is a wasteful number, since it uses less digits than its factorization.

133162554979584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3858 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 133162554979584 in words is "one hundred thirty-three trillion, one hundred sixty-two billion, five hundred fifty-four million, nine hundred seventy-nine thousand, five hundred eighty-four".