133252512 has 48 divisors (see below), whose sum is σ = 351120672. Its totient is φ = 44248320.

The previous prime is 133252499. The next prime is 133252513. The reversal of 133252512 is 215252331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (133252513) 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 7 ways as a sum of consecutive naturals, for example, 24087 + ... + 29097.

It is an arithmetic number, because the mean of its divisors is an integer number (7315014).

Almost surely, 2^133252512 is an apocalyptic number.

133252512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133252512 is an abundant number, since it is smaller than the sum of its proper divisors (217868160).

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

133252512 is a wasteful number, since it uses less digits than its factorization.

133252512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5293 counting only the distinct ones).

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

The square root of 133252512 is about 11543.5051869006. The cubic root of 133252512 is about 510.7697104819.

It can be divided in two parts, 13 and 3252512, that added together give a triangular number (3252525 = T₂₅₅₀).

The spelling of 133252512 in words is "one hundred thirty-three million, two hundred fifty-two thousand, five hundred twelve".