133123272680088 has 64 divisors (see below), whose sum is σ = 370348002288000. Its totient is φ = 44307088178976.

The previous prime is 133123272680059. The next prime is 133123272680089. The reversal of 133123272680088 is 880086272321331.

133123272680088 is a `hidden beast` number, since 1 + 331 + 23 + 27 + 268 + 0 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133123272680089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467468770 + ... + 467753457.

It is an arithmetic number, because the mean of its divisors is an integer number (5786687535750).

Almost surely, 2^{133123272680088} is an apocalyptic number.

133123272680088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133123272680088 is an abundant number, since it is smaller than the sum of its proper divisors (237224729607912).

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

133123272680088 is a wasteful number, since it uses less digits than its factorization.

133123272680088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935222901 (or 935222891 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 133123272680088 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, two hundred seventy-two million, six hundred eighty thousand, eighty-eight".