133099741344 has 144 divisors (see below), whose sum is σ = 357102188352. Its totient is φ = 43399812096.

The previous prime is 133099741331. The next prime is 133099741349. The reversal of 133099741344 is 443147990331.

It is a super-2 number, since 2×133099741344² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 133099741293 and 133099741302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133099741349) 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, 135401077 + ... + 135402059.

It is an arithmetic number, because the mean of its divisors is an integer number (2479876308).

Almost surely, 2^133099741344 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 133099741344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178551094176).

133099741344 is an abundant number, since it is smaller than the sum of its proper divisors (224002447008).

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

133099741344 is an equidigital number, since it uses as much as digits as its factorization.

133099741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 133099741344 in words is "one hundred thirty-three billion, ninety-nine million, seven hundred forty-one thousand, three hundred forty-four".