133538470962624 has 2016 divisors, whose sum is σ = 520722947961216. Its totient is φ = 32970996449280.

The previous prime is 133538470962569. The next prime is 133538470962629. The reversal of 133538470962624 is 426269074835331.

133538470962624 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 38 + 470 + 96 + 26 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133538470962629) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 156551548182 + ... + 156551549034.

It is an arithmetic number, because the mean of its divisors is an integer number (258295113076).

It is a 1-persistent number, because it is pandigital, but 2⋅133538470962624 = 267076941925248 is not.

Almost surely, 2^{133538470962624} is an apocalyptic number.

133538470962624 is a gapful number since it is divisible by the number (14) 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 133538470962624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260361473980608).

133538470962624 is an abundant number, since it is smaller than the sum of its proper divisors (387184476998592).

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

133538470962624 is an equidigital number, since it uses as much as digits as its factorization.

133538470962624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 133538470962624 in words is "one hundred thirty-three trillion, five hundred thirty-eight billion, four hundred seventy million, nine hundred sixty-two thousand, six hundred twenty-four".