133763347628496 has 240 divisors, whose sum is σ = 378780137948160. Its totient is φ = 44063691356160.

The previous prime is 133763347628489. The next prime is 133763347628579. The reversal of 133763347628496 is 694826743367331.

133763347628496 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 6 + 33 + 47 + 62 + 8 + 496 = 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 47 ways as a sum of consecutive naturals, for example, 3978311941 + ... + 3978345563.

It is an arithmetic number, because the mean of its divisors is an integer number (1578250574784).

Almost surely, 2^{133763347628496} is an apocalyptic number.

133763347628496 is a gapful number since it is divisible by the number (16) 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 133763347628496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189390068974080).

133763347628496 is an abundant number, since it is smaller than the sum of its proper divisors (245016790319664).

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

133763347628496 is a wasteful number, since it uses less digits than its factorization.

133763347628496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34674 (or 34665 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 72.

The spelling of 133763347628496 in words is "one hundred thirty-three trillion, seven hundred sixty-three billion, three hundred forty-seven million, six hundred twenty-eight thousand, four hundred ninety-six".