133386372 has 96 divisors (see below), whose sum is σ = 402796800. Its totient is φ = 37380096.

The previous prime is 133386367. The next prime is 133386373. The reversal of 133386372 is 273683331.

It is a happy number.

133386372 is a `hidden beast` number, since 13 + 3 + 3 + 8 + 637 + 2 = 666.

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

Its product of digits (54432) is a multiple of the sum of its prime factors (3402).

It is not an unprimeable number, because it can be changed into a prime (133386373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38404 + ... + 41732.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2^133386372 is an apocalyptic number.

133386372 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 133386372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201398400).

133386372 is an abundant number, since it is smaller than the sum of its proper divisors (269410428).

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

133386372 is a wasteful number, since it uses less digits than its factorization.

133386372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3394 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 133386372 is about 11549.3017970785. The cubic root of 133386372 is about 510.9406859998.

The spelling of 133386372 in words is "one hundred thirty-three million, three hundred eighty-six thousand, three hundred seventy-two".