133095409920 has 864 divisors, whose sum is σ = 549344001024. Its totient is φ = 29373235200.

The previous prime is 133095409907. The next prime is 133095409921. The reversal of 133095409920 is 29904590331.

133095409920 is a `hidden beast` number, since 13 + 3 + 0 + 9 + 540 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (133095409921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66780444 + ... + 66782436.

It is an arithmetic number, because the mean of its divisors is an integer number (635814816).

Almost surely, 2^133095409920 is an apocalyptic number.

133095409920 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 133095409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274672000512).

133095409920 is an abundant number, since it is smaller than the sum of its proper divisors (416248591104).

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

133095409920 is a wasteful number, since it uses less digits than its factorization.

133095409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 133095409920 in words is "one hundred thirty-three billion, ninety-five million, four hundred nine thousand, nine hundred twenty".