133362945999360 has 1920 divisors, whose sum is σ = 602895172239360. Its totient is φ = 26432992051200.

The previous prime is 133362945999359. The next prime is 133362945999397. The reversal of 133362945999360 is 63999549263331.

It is a happy number.

133362945999360 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 6 + 29 + 4 + 599 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×133362945999360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 4270194945 + ... + 4270226175.

It is an arithmetic number, because the mean of its divisors is an integer number (314007902208).

Almost surely, 2^{133362945999360} is an apocalyptic number.

133362945999360 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 133362945999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301447586119680).

133362945999360 is an abundant number, since it is smaller than the sum of its proper divisors (469532226240000).

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

133362945999360 is a wasteful number, since it uses less digits than its factorization.

133362945999360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31390 (or 31371 counting only the distinct ones).

The product of its (nonzero) digits is 765275040, while the sum is 72.

The spelling of 133362945999360 in words is "one hundred thirty-three trillion, three hundred sixty-two billion, nine hundred forty-five million, nine hundred ninety-nine thousand, three hundred sixty".