133465001604120 has 256 divisors, whose sum is σ = 448245560448000. Its totient is φ = 35322698880000.

The previous prime is 133465001604097. The next prime is 133465001604157. The reversal of 133465001604120 is 21406100564331.

133465001604120 is a `hidden beast` number, since 1 + 3 + 3 + 46 + 5 + 0 + 0 + 1 + 604 + 1 + 2 + 0 = 666.

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

It is a congruent number.

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, 75297421 + ... + 77049539.

It is an arithmetic number, because the mean of its divisors is an integer number (1750959220500).

Almost surely, 2^{133465001604120} is an apocalyptic number.

133465001604120 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 133465001604120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224122780224000).

133465001604120 is an abundant number, since it is smaller than the sum of its proper divisors (314780558843880).

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

133465001604120 is a wasteful number, since it uses less digits than its factorization.

133465001604120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752671 (or 1752661 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 133465001604120 in words is "one hundred thirty-three trillion, four hundred sixty-five billion, one million, six hundred four thousand, one hundred twenty".