133101696 has 192 divisors, whose sum is σ = 439024320. Its totient is φ = 34983936.

The previous prime is 133101679. The next prime is 133101701. The reversal of 133101696 is 696101331.

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

It is a super-2 number, since 2×133101696² = 35432122956152832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454126 + ... + 454418.

It is an arithmetic number, because the mean of its divisors is an integer number (2286585).

Almost surely, 2^133101696 is an apocalyptic number.

133101696 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 133101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219512160).

133101696 is an abundant number, since it is smaller than the sum of its proper divisors (305922624).

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

133101696 is a wasteful number, since it uses less digits than its factorization.

133101696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 133101696 is about 11536.9708329353. The cubic root of 133101696 is about 510.5769403203.

The spelling of 133101696 in words is "one hundred thirty-three million, one hundred one thousand, six hundred ninety-six".