133407288 has 48 divisors (see below), whose sum is σ = 412928880. Its totient is φ = 38116224.

The previous prime is 133407269. The next prime is 133407289. The reversal of 133407288 is 882704331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133407289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131845 + ... + 132852.

It is an arithmetic number, because the mean of its divisors is an integer number (8602685).

Almost surely, 2^133407288 is an apocalyptic number.

133407288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133407288 is an abundant number, since it is smaller than the sum of its proper divisors (279521592).

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

133407288 is a wasteful number, since it uses less digits than its factorization.

133407288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264716 (or 264709 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 133407288 is about 11550.2072708675. The cubic root of 133407288 is about 510.9673910689.

The spelling of 133407288 in words is "one hundred thirty-three million, four hundred seven thousand, two hundred eighty-eight".