133497262080 has 1248 divisors, whose sum is σ = 596121321600. Its totient is φ = 28092137472.

The previous prime is 133497262079. The next prime is 133497262109. The reversal of 133497262080 is 80262794331.

133497262080 is a `hidden beast` number, since 1 + 334 + 97 + 26 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352235331 + ... + 352235709.

Almost surely, 2^133497262080 is an apocalyptic number.

133497262080 is a gapful number since it is divisible by the number (10) 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 133497262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298060660800).

133497262080 is an abundant number, since it is smaller than the sum of its proper divisors (462624059520).

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

133497262080 is a wasteful number, since it uses less digits than its factorization.

133497262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 133497262080 in words is "one hundred thirty-three billion, four hundred ninety-seven million, two hundred sixty-two thousand, eighty".