133300332 has 72 divisors (see below), whose sum is σ = 389228112. Its totient is φ = 38016000.

The previous prime is 133300331. The next prime is 133300339. The reversal of 133300332 is 233003331.

133300332 is a `hidden beast` number, since 1 + 3 + 330 + 0 + 332 = 666.

It is a super-2 number, since 2×133300332² = 35537957022620448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133300331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3169 + ... + 16632.

It is an arithmetic number, because the mean of its divisors is an integer number (5405946).

Almost surely, 2^133300332 is an apocalyptic number.

133300332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133300332 is an abundant number, since it is smaller than the sum of its proper divisors (255927780).

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

133300332 is a wasteful number, since it uses less digits than its factorization.

133300332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19839 (or 19834 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133300332 is about 11545.5762957074. The cubic root of 133300332 is about 510.8308027295.

Adding to 133300332 its reverse (233003331), we get a palindrome (366303663).

It can be divided in two parts, 1 and 33300332, that added together give a palindrome (33300333).

The spelling of 133300332 in words is "one hundred thirty-three million, three hundred thousand, three hundred thirty-two".