133164096 has 112 divisors (see below), whose sum is σ = 391899648. Its totient is φ = 39628800.

The previous prime is 133164079. The next prime is 133164133. The reversal of 133164096 is 690461331.

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, 76516 + ... + 78236.

It is an arithmetic number, because the mean of its divisors is an integer number (3499104).

Almost surely, 2^133164096 is an apocalyptic number.

133164096 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 133164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195949824).

133164096 is an abundant number, since it is smaller than the sum of its proper divisors (258735552).

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

133164096 is a wasteful number, since it uses less digits than its factorization.

133164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 133164096 is about 11539.6748654371. The cubic root of 133164096 is about 510.6567164728.

The spelling of 133164096 in words is "one hundred thirty-three million, one hundred sixty-four thousand, ninety-six".