133901352 has 96 divisors (see below), whose sum is σ = 404094600. Its totient is φ = 39771648.

The previous prime is 133901321. The next prime is 133901357. The reversal of 133901352 is 253109331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 81974916 + 51926436 = 9054^2 + 7206^2 .

It is not an unprimeable number, because it can be changed into a prime (133901357) 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, 24678 + ... + 29610.

Almost surely, 2^133901352 is an apocalyptic number.

133901352 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 133901352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202047300).

133901352 is an abundant number, since it is smaller than the sum of its proper divisors (270193248).

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

133901352 is a wasteful number, since it uses less digits than its factorization.

133901352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 133901352 is about 11571.5751736745. The cubic root of 133901352 is about 511.5973906051.

The spelling of 133901352 in words is "one hundred thirty-three million, nine hundred one thousand, three hundred fifty-two".