133146741292320 has 768 divisors, whose sum is σ = 517127201095680. Its totient is φ = 28126335283200.

The previous prime is 133146741292283. The next prime is 133146741292339. The reversal of 133146741292320 is 23292147641331.

133146741292320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133146741292320.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1511630041 + ... + 1511718119.

It is an arithmetic number, because the mean of its divisors is an integer number (673342709760).

Almost surely, 2^{133146741292320} is an apocalyptic number.

133146741292320 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 133146741292320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258563600547840).

133146741292320 is an abundant number, since it is smaller than the sum of its proper divisors (383980459803360).

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

133146741292320 is a wasteful number, since it uses less digits than its factorization.

133146741292320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88789 (or 88781 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 133146741292320 in words is "one hundred thirty-three trillion, one hundred forty-six billion, seven hundred forty-one million, two hundred ninety-two thousand, three hundred twenty".