133886084677632 has 768 divisors, whose sum is σ = 467915496048000. Its totient is φ = 36074466312192.

The previous prime is 133886084677627. The next prime is 133886084677663. The reversal of 133886084677632 is 236776480688331.

It is a happy number.

133886084677632 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 8 + 60 + 8 + 467 + 76 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×133886084677632² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2574260844 + ... + 2574312852.

Almost surely, 2^{133886084677632} is an apocalyptic number.

133886084677632 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 133886084677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233957748024000).

133886084677632 is an abundant number, since it is smaller than the sum of its proper divisors (334029411370368).

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

133886084677632 is an equidigital number, since it uses as much as digits as its factorization.

133886084677632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52124 (or 52093 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 133886084677632 in words is "one hundred thirty-three trillion, eight hundred eighty-six billion, eighty-four million, six hundred seventy-seven thousand, six hundred thirty-two".