133347810960 has 960 divisors, whose sum is σ = 614405675520. Its totient is φ = 25082265600.

The previous prime is 133347810919. The next prime is 133347810983. The reversal of 133347810960 is 69018743331.

133347810960 is a `hidden beast` number, since 13 + 3 + 3 + 478 + 109 + 60 = 666.

It is a super-2 number, since 2×133347810960² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21159810 + ... + 21166110.

It is an arithmetic number, because the mean of its divisors is an integer number (640005912).

Almost surely, 2^133347810960 is an apocalyptic number.

133347810960 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 133347810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307202837760).

133347810960 is an abundant number, since it is smaller than the sum of its proper divisors (481057864560).

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

133347810960 is a wasteful number, since it uses less digits than its factorization.

133347810960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 133347810960 in words is "one hundred thirty-three billion, three hundred forty-seven million, eight hundred ten thousand, nine hundred sixty".