133264834560 has 912 divisors, whose sum is σ = 549620547840. Its totient is φ = 29444014080.

The previous prime is 133264834541. The next prime is 133264834601. The reversal of 133264834560 is 65438462331.

133264834560 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 6 + 4 + 83 + 4 + 560 = 666.

It is a super-2 number, since 2×133264834560² (a number of 23 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1686896601 + ... + 1686896679.

Almost surely, 2^133264834560 is an apocalyptic number.

133264834560 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 133264834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274810273920).

133264834560 is an abundant number, since it is smaller than the sum of its proper divisors (416355713280).

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

133264834560 is an equidigital number, since it uses as much as digits as its factorization.

133264834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 133264834560 in words is "one hundred thirty-three billion, two hundred sixty-four million, eight hundred thirty-four thousand, five hundred sixty".