133516670976 has 192 divisors, whose sum is σ = 425934381600. Its totient is φ = 41081831424.

The previous prime is 133516670953. The next prime is 133516671007. The reversal of 133516670976 is 679076615331.

133516670976 is a `hidden beast` number, since 1 + 33 + 516 + 6 + 7 + 0 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625980 + ... + 811716.

Almost surely, 2^133516670976 is an apocalyptic number.

133516670976 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 133516670976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212967190800).

133516670976 is an abundant number, since it is smaller than the sum of its proper divisors (292417710624).

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

133516670976 is a wasteful number, since it uses less digits than its factorization.

133516670976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185781 (or 185755 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 133516670976 in words is "one hundred thirty-three billion, five hundred sixteen million, six hundred seventy thousand, nine hundred seventy-six".