133609432320 has 864 divisors, whose sum is σ = 572439958272. Its totient is φ = 28017819648.

The previous prime is 133609432309. The next prime is 133609432337. The reversal of 133609432320 is 23234906331.

133609432320 is a `hidden beast` number, since 1 + 3 + 3 + 609 + 4 + 3 + 23 + 20 = 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 95 ways as a sum of consecutive naturals, for example, 244258287 + ... + 244258833.

It is an arithmetic number, because the mean of its divisors is an integer number (662546248).

Almost surely, 2^133609432320 is an apocalyptic number.

133609432320 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 133609432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286219979136).

133609432320 is an abundant number, since it is smaller than the sum of its proper divisors (438830525952).

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

133609432320 is a wasteful number, since it uses less digits than its factorization.

133609432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 133609432320 in words is "one hundred thirty-three billion, six hundred nine million, four hundred thirty-two thousand, three hundred twenty".