133953894739224 has 640 divisors, whose sum is σ = 442411540623360. Its totient is φ = 37075688312832.

The previous prime is 133953894739219. The next prime is 133953894739309. The reversal of 133953894739224 is 422937498359331.

133953894739224 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 53 + 89 + 473 + 9 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8802903264 + ... + 8802918480.

It is an arithmetic number, because the mean of its divisors is an integer number (691268032224).

Almost surely, 2^{133953894739224} is an apocalyptic number.

133953894739224 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 133953894739224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221205770311680).

133953894739224 is an abundant number, since it is smaller than the sum of its proper divisors (308457645884136).

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

133953894739224 is a wasteful number, since it uses less digits than its factorization.

133953894739224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15709 (or 15696 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 133953894739224 in words is "one hundred thirty-three trillion, nine hundred fifty-three billion, eight hundred ninety-four million, seven hundred thirty-nine thousand, two hundred twenty-four".