133180956 has 96 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 41005440.

The previous prime is 133180951. The next prime is 133180961. The reversal of 133180956 is 659081331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133180951) and next prime (133180961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133180956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133180951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83341 + ... + 84923.

It is an arithmetic number, because the mean of its divisors is an integer number (3880800).

Almost surely, 2^133180956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133180956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

133180956 is an abundant number, since it is smaller than the sum of its proper divisors (239375844).

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

133180956 is a wasteful number, since it uses less digits than its factorization.

133180956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 133180956 is about 11540.4053654973. The cubic root of 133180956 is about 510.6782670988.

The spelling of 133180956 in words is "one hundred thirty-three million, one hundred eighty thousand, nine hundred fifty-six".