133014024 has 96 divisors (see below), whose sum is σ = 423259200. Its totient is φ = 37203840.

The previous prime is 133014023. The next prime is 133014029. The reversal of 133014024 is 420410331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133013988 and 133014006.

It is not an unprimeable number, because it can be changed into a prime (133014023) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3837 + ... + 16755.

It is an arithmetic number, because the mean of its divisors is an integer number (4408950).

Almost surely, 2^133014024 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 133014024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211629600).

133014024 is an abundant number, since it is smaller than the sum of its proper divisors (290245176).

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

133014024 is a wasteful number, since it uses less digits than its factorization.

133014024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955 (or 12948 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 133014024 is about 11533.1705961544. The cubic root of 133014024 is about 510.4648126897.

Adding to 133014024 its reverse (420410331), we get a palindrome (553424355).

The spelling of 133014024 in words is "one hundred thirty-three million, fourteen thousand, twenty-four".