133913952 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 42094080.

The previous prime is 133913929. The next prime is 133913959. The reversal of 133913952 is 259319331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133913959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1886077 + ... + 1886147.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^133913952 is an apocalyptic number.

133913952 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 133913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

133913952 is an abundant number, since it is smaller than the sum of its proper divisors (279769248).

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

133913952 is a wasteful number, since it uses less digits than its factorization.

133913952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 133913952 is about 11572.1195984141. The cubic root of 133913952 is about 511.6134370574.

The spelling of 133913952 in words is "one hundred thirty-three million, nine hundred thirteen thousand, nine hundred fifty-two".