133252624 has 40 divisors (see below), whose sum is σ = 278419680. Its totient is φ = 61574400.

The previous prime is 133252513. The next prime is 133252649. The reversal of 133252624 is 426252331.

It is a junction number, because it is equal to n+sod(n) for n = 133252592 and 133252601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7119 + ... + 17809.

It is an arithmetic number, because the mean of its divisors is an integer number (6960492).

Almost surely, 2^133252624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133252624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139209840).

133252624 is an abundant number, since it is smaller than the sum of its proper divisors (145167056).

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

133252624 is a wasteful number, since it uses less digits than its factorization.

133252624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10759 (or 10753 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 133252624 is about 11543.5100381123. The cubic root of 133252624 is about 510.7698535841.

It can be divided in two parts, 1332 and 52624, that added together give a triangular number (53956 = T₃₂₈).

The spelling of 133252624 in words is "one hundred thirty-three million, two hundred fifty-two thousand, six hundred twenty-four".