133252152 has 64 divisors (see below), whose sum is σ = 366284160. Its totient is φ = 40060800.

The previous prime is 133252127. The next prime is 133252153. The reversal of 133252152 is 251252331.

It is a happy number.

It is a super-2 number, since 2×133252152² = 35512272025262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133252153) 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 15 ways as a sum of consecutive naturals, for example, 32658 + ... + 36510.

It is an arithmetic number, because the mean of its divisors is an integer number (5723190).

Almost surely, 2^133252152 is an apocalyptic number.

133252152 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 133252152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183142080).

133252152 is an abundant number, since it is smaller than the sum of its proper divisors (233032008).

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

133252152 is a wasteful number, since it uses less digits than its factorization.

133252152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 4000 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 133252152 is about 11543.4895937061. The cubic root of 133252152 is about 510.7692505099.

The spelling of 133252152 in words is "one hundred thirty-three million, two hundred fifty-two thousand, one hundred fifty-two".