133325964 has 54 divisors (see below), whose sum is σ = 355724460. Its totient is φ = 42098832.

The previous prime is 133325957. The next prime is 133325977. The reversal of 133325964 is 469523331.

It is a happy number.

133325964 is a `hidden beast` number, since 1 + 33 + 32 + 596 + 4 = 666.

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 17 ways as a sum of consecutive naturals, for example, 7867 + ... + 18125.

It is an arithmetic number, because the mean of its divisors is an integer number (6587490).

Almost surely, 2^133325964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133325964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177862230).

133325964 is an abundant number, since it is smaller than the sum of its proper divisors (222398496).

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

133325964 is a wasteful number, since it uses less digits than its factorization.

133325964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307 (or 10283 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 133325964 is about 11546.6862778894. The cubic root of 133325964 is about 510.8635427729.

The spelling of 133325964 in words is "one hundred thirty-three million, three hundred twenty-five thousand, nine hundred sixty-four".