133411824 has 120 divisors (see below), whose sum is σ = 459574752. Its totient is φ = 35182080.

The previous prime is 133411823. The next prime is 133411913. The reversal of 133411824 is 428114331.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133411823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8014 + ... + 18194.

Almost surely, 2^133411824 is an apocalyptic number.

133411824 is a gapful number since it is divisible by the number (14) 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 133411824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229787376).

133411824 is an abundant number, since it is smaller than the sum of its proper divisors (326162928).

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

133411824 is a wasteful number, since it uses less digits than its factorization.

133411824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10215 (or 10206 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 133411824 is about 11550.4036293110. The cubic root of 133411824 is about 510.9731821614.

The spelling of 133411824 in words is "one hundred thirty-three million, four hundred eleven thousand, eight hundred twenty-four".