133469952 has 288 divisors, whose sum is σ = 462303744. Its totient is φ = 33177600.

The previous prime is 133469933. The next prime is 133469969. The reversal of 133469952 is 259964331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (174960) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is an unprimeable number.

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, 2188002 + ... + 2188062.

Almost surely, 2^133469952 is an apocalyptic number.

133469952 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 133469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231151872).

133469952 is an abundant number, since it is smaller than the sum of its proper divisors (328833792).

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

133469952 is a wasteful number, since it uses less digits than its factorization.

133469952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 133469952 is about 11552.9196309851. The cubic root of 133469952 is about 511.0473823223.

It can be divided in two parts, 133469 and 952, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 133469952 in words is "one hundred thirty-three million, four hundred sixty-nine thousand, nine hundred fifty-two".