133526053401664 has 224 divisors, whose sum is σ = 336581013196800. Its totient is φ = 51049472348160.

The previous prime is 133526053401581. The next prime is 133526053401701. The reversal of 133526053401664 is 466104350625331.

It is a tau number, because it is divible by the number of its divisors (224).

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, 62405772 + ... + 64509940.

Almost surely, 2^{133526053401664} is an apocalyptic number.

133526053401664 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 133526053401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168290506598400).

133526053401664 is an abundant number, since it is smaller than the sum of its proper divisors (203054959795136).

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

133526053401664 is a wasteful number, since it uses less digits than its factorization.

133526053401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104441 (or 2104431 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 49.

The spelling of 133526053401664 in words is "one hundred thirty-three trillion, five hundred twenty-six billion, fifty-three million, four hundred one thousand, six hundred sixty-four".