133914924 has 288 divisors, whose sum is σ = 442713600. Its totient is φ = 34594560.

The previous prime is 133914919. The next prime is 133914931. The reversal of 133914924 is 429419331.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (23328) is a multiple of the sum of its prime divisors (81).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4617742 + ... + 4617770.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 2^133914924 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 133914924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221356800).

133914924 is an abundant number, since it is smaller than the sum of its proper divisors (308798676).

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

133914924 is a wasteful number, since it uses less digits than its factorization.

133914924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133914924 is about 11572.1615958299. The cubic root of 133914924 is about 511.6146748847.

The spelling of 133914924 in words is "one hundred thirty-three million, nine hundred fourteen thousand, nine hundred twenty-four".