133990305696 has 432 divisors, whose sum is σ = 444390101064. Its totient is φ = 37937184768.

The previous prime is 133990305677. The next prime is 133990305697. The reversal of 133990305696 is 696503099331.

It is a happy number.

133990305696 is a `hidden beast` number, since 13 + 39 + 9 + 0 + 30 + 569 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105170490000 + 28819815696 = 324300^2 + 169764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133990305697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140597956 + ... + 140598908.

Almost surely, 2^133990305696 is an apocalyptic number.

133990305696 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 133990305696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222195050532).

133990305696 is an abundant number, since it is smaller than the sum of its proper divisors (310399795368).

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

133990305696 is a wasteful number, since it uses less digits than its factorization.

133990305696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 3542940, while the sum is 54.

The spelling of 133990305696 in words is "one hundred thirty-three billion, nine hundred ninety million, three hundred five thousand, six hundred ninety-six".