133392960 has 112 divisors (see below), whose sum is σ = 470611200. Its totient is φ = 35569152.

The previous prime is 133392949. The next prime is 133392979. The reversal of 133392960 is 69293331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921 + ... + 16359.

Almost surely, 2^133392960 is an apocalyptic number.

133392960 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 133392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235305600).

133392960 is an abundant number, since it is smaller than the sum of its proper divisors (337218240).

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

133392960 is a wasteful number, since it uses less digits than its factorization.

133392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15465 (or 15449 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 133392960 is about 11549.5870056033. The cubic root of 133392960 is about 510.9490977083.

The spelling of 133392960 in words is "one hundred thirty-three million, three hundred ninety-two thousand, nine hundred sixty".