133498946200896 has 448 divisors, whose sum is σ = 422612423516160. Its totient is φ = 41172593172480.

The previous prime is 133498946200853. The next prime is 133498946200901. The reversal of 133498946200896 is 698002649894331.

133498946200896 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 9 + 89 + 462 + 0 + 0 + 89 + 6 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966313201 + ... + 966451343.

Almost surely, 2^{133498946200896} is an apocalyptic number.

133498946200896 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 133498946200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211306211758080).

133498946200896 is an abundant number, since it is smaller than the sum of its proper divisors (289113477315264).

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

133498946200896 is a wasteful number, since it uses less digits than its factorization.

133498946200896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138739 (or 138723 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 133498946200896 in words is "one hundred thirty-three trillion, four hundred ninety-eight billion, nine hundred forty-six million, two hundred thousand, eight hundred ninety-six".