133124040 has 128 divisors (see below), whose sum is σ = 507168000. Its totient is φ = 30426624.

The previous prime is 133124027. The next prime is 133124071. The reversal of 133124040 is 40421331.

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, 1245 + ... + 16364.

It is an arithmetic number, because the mean of its divisors is an integer number (3962250).

Almost surely, 2^133124040 is an apocalyptic number.

133124040 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 133124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253584000).

133124040 is an abundant number, since it is smaller than the sum of its proper divisors (374043960).

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

133124040 is a wasteful number, since it uses less digits than its factorization.

133124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17636 (or 17626 counting only the distinct ones).

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

The square root of 133124040 is about 11537.9391574059. The cubic root of 133124040 is about 510.6055091845.

Adding to 133124040 its reverse (40421331), we get a palindrome (173545371).

The spelling of 133124040 in words is "one hundred thirty-three million, one hundred twenty-four thousand, forty".