133125926760 has 256 divisors, whose sum is σ = 456863328000. Its totient is φ = 34897195008.

The previous prime is 133125926711. The next prime is 133125926789. The reversal of 133125926760 is 67629521331.

133125926760 is a `hidden beast` number, since 1 + 331 + 2 + 59 + 267 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5148424 + ... + 5174216.

It is an arithmetic number, because the mean of its divisors is an integer number (1784622375).

Almost surely, 2^133125926760 is an apocalyptic number.

133125926760 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 133125926760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228431664000).

133125926760 is an abundant number, since it is smaller than the sum of its proper divisors (323737401240).

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

133125926760 is an equidigital number, since it uses as much as digits as its factorization.

133125926760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25884 (or 25862 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 133125926760 in words is "one hundred thirty-three billion, one hundred twenty-five million, nine hundred twenty-six thousand, seven hundred sixty".