133620600960 has 1152 divisors, whose sum is σ = 591208450560. Its totient is φ = 27497594880.

The previous prime is 133620600959. The next prime is 133620600979. The reversal of 133620600960 is 69006026331.

133620600960 is a `hidden beast` number, since 13 + 36 + 2 + 0 + 600 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 599195409 + ... + 599195631.

It is an arithmetic number, because the mean of its divisors is an integer number (513201780).

Almost surely, 2^133620600960 is an apocalyptic number.

133620600960 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 133620600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295604225280).

133620600960 is an abundant number, since it is smaller than the sum of its proper divisors (457587849600).

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

133620600960 is a wasteful number, since it uses less digits than its factorization.

133620600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 133620600960 in words is "one hundred thirty-three billion, six hundred twenty million, six hundred thousand, nine hundred sixty".