133024140 has 96 divisors (see below), whose sum is σ = 416445120. Its totient is φ = 35251200.

The previous prime is 133024097. The next prime is 133024163. The reversal of 133024140 is 41420331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97060 + ... + 98420.

It is an arithmetic number, because the mean of its divisors is an integer number (4337970).

Almost surely, 2^133024140 is an apocalyptic number.

133024140 is a gapful number since it is divisible by the number (10) 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 133024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208222560).

133024140 is an abundant number, since it is smaller than the sum of its proper divisors (283420980).

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

133024140 is a wasteful number, since it uses less digits than its factorization.

133024140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1552 counting only the distinct ones).

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

The square root of 133024140 is about 11533.6091489178. The cubic root of 133024140 is about 510.4777530073.

Adding to 133024140 its reverse (41420331), we get a palindrome (174444471).

The spelling of 133024140 in words is "one hundred thirty-three million, twenty-four thousand, one hundred forty".