133242960 has 80 divisors (see below), whose sum is σ = 426401280. Its totient is φ = 34383360.

The previous prime is 133242959. The next prime is 133242961. The reversal of 133242960 is 69242331.

133242960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133242959) and next prime (133242961).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133242961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515 + ... + 16394.

It is an arithmetic number, because the mean of its divisors is an integer number (5330016).

Almost surely, 2^133242960 is an apocalyptic number.

133242960 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 133242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213200640).

133242960 is an abundant number, since it is smaller than the sum of its proper divisors (293158320).

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

133242960 is a wasteful number, since it uses less digits than its factorization.

133242960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17956 (or 17950 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 133242960 is about 11543.0914403378. The cubic root of 133242960 is about 510.7575056116.

The spelling of 133242960 in words is "one hundred thirty-three million, two hundred forty-two thousand, nine hundred sixty".