133304292 has 120 divisors (see below), whose sum is σ = 384687072. Its totient is φ = 39916800.

The previous prime is 133304291. The next prime is 133304317. The reversal of 133304292 is 292403331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133304291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 402567 + ... + 402897.

Almost surely, 2^133304292 is an apocalyptic number.

133304292 is a gapful number since it is divisible by the number (12) 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 133304292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192343536).

133304292 is an abundant number, since it is smaller than the sum of its proper divisors (251382780).

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

133304292 is a wasteful number, since it uses less digits than its factorization.

133304292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 133304292 is about 11545.7477886883. The cubic root of 133304292 is about 510.8358611563.

The spelling of 133304292 in words is "one hundred thirty-three million, three hundred four thousand, two hundred ninety-two".