133923132 has 90 divisors (see below), whose sum is σ = 401769368. Its totient is φ = 38263752.

The previous prime is 133923107. The next prime is 133923133. The reversal of 133923132 is 231329331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (2916) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 133923096 and 133923105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133923133) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19131873 + ... + 19131879.

Almost surely, 2^133923132 is an apocalyptic number.

133923132 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 133923132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884684).

133923132 is an abundant number, since it is smaller than the sum of its proper divisors (267846236).

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

133923132 is an frugal number, since it uses more digits than its factorization.

133923132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 12 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 133923132 is about 11572.5162345965. The cubic root of 133923132 is about 511.6251274102.

The spelling of 133923132 in words is "one hundred thirty-three million, nine hundred twenty-three thousand, one hundred thirty-two".