133422029521920 has 1408 divisors, whose sum is σ = 511600284057600. Its totient is φ = 32851663257600.

The previous prime is 133422029521909. The next prime is 133422029521951. The reversal of 133422029521920 is 29125920224331.

133422029521920 is a `hidden beast` number, since 1 + 3 + 3 + 422 + 0 + 2 + 9 + 5 + 219 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134633732625 + ... + 134633733615.

Almost surely, 2^{133422029521920} is an apocalyptic number.

133422029521920 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 133422029521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255800142028800).

133422029521920 is an abundant number, since it is smaller than the sum of its proper divisors (378178254535680).

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

133422029521920 is a wasteful number, since it uses less digits than its factorization.

133422029521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 133422029521920 in words is "one hundred thirty-three trillion, four hundred twenty-two billion, twenty-nine million, five hundred twenty-one thousand, nine hundred twenty".