133101180 has 72 divisors (see below), whose sum is σ = 412356672. Its totient is φ = 34736256.

The previous prime is 133101131. The next prime is 133101181. The reversal of 133101180 is 81101331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133101181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594 + ... + 16326.

It is an arithmetic number, because the mean of its divisors is an integer number (5727176).

Almost surely, 2^133101180 is an apocalyptic number.

133101180 is a gapful number since it is divisible by the number (10) 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 133101180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206178336).

133101180 is an abundant number, since it is smaller than the sum of its proper divisors (279255492).

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

133101180 is a wasteful number, since it uses less digits than its factorization.

133101180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15795 (or 15790 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 133101180 is about 11536.9484700245. The cubic root of 133101180 is about 510.5762805290.

The spelling of 133101180 in words is "one hundred thirty-three million, one hundred one thousand, one hundred eighty".