133793147124 has 144 divisors (see below), whose sum is σ = 421261206912. Its totient is φ = 34860900096.

The previous prime is 133793147093. The next prime is 133793147149. The reversal of 133793147124 is 421741397331.

133793147124 is a `hidden beast` number, since 13 + 379 + 3 + 147 + 124 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133793147124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25882 + ... + 517934.

It is an arithmetic number, because the mean of its divisors is an integer number (2925425048).

Almost surely, 2^133793147124 is an apocalyptic number.

133793147124 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 133793147124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210630603456).

133793147124 is an abundant number, since it is smaller than the sum of its proper divisors (287468059788).

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

133793147124 is a wasteful number, since it uses less digits than its factorization.

133793147124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492166 (or 492161 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 133793147124 in words is "one hundred thirty-three billion, seven hundred ninety-three million, one hundred forty-seven thousand, one hundred twenty-four".