133145797317120 has 2880 divisors, whose sum is σ = 582430424209920. Its totient is φ = 28530145492992.

The previous prime is 133145797317041. The next prime is 133145797317157. The reversal of 133145797317120 is 21713797541331.

133145797317120 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 457 + 97 + 31 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 143321632816 + ... + 143321633744.

It is an arithmetic number, because the mean of its divisors is an integer number (202232786184).

Almost surely, 2^{133145797317120} is an apocalyptic number.

133145797317120 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 133145797317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291215212104960).

133145797317120 is an abundant number, since it is smaller than the sum of its proper divisors (449284626892800).

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

133145797317120 is an frugal number, since it uses more digits than its factorization.

133145797317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 133145797317120 in words is "one hundred thirty-three trillion, one hundred forty-five billion, seven hundred ninety-seven million, three hundred seventeen thousand, one hundred twenty".