133161084 has 72 divisors (see below), whose sum is σ = 398955648. Its totient is φ = 38044080.

The previous prime is 133161079. The next prime is 133161097. The reversal of 133161084 is 480161331.

133161084 is a `hidden beast` number, since 13 + 31 + 610 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2982 + ... + 16589.

Almost surely, 2^133161084 is an apocalyptic number.

133161084 is a gapful number since it is divisible by the number (14) 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 133161084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199477824).

133161084 is an abundant number, since it is smaller than the sum of its proper divisors (265794564).

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

133161084 is a wasteful number, since it uses less digits than its factorization.

133161084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19597 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 133161084 is about 11539.5443584225. The cubic root of 133161084 is about 510.6528663118.

It can be divided in two parts, 13316 and 1084, that added together give a square (14400 = 120²).

The spelling of 133161084 in words is "one hundred thirty-three million, one hundred sixty-one thousand, eighty-four".