130953312 has 144 divisors (see below), whose sum is σ = 450751392. Its totient is φ = 35205120.

The previous prime is 130953311. The next prime is 130953353. The reversal of 130953312 is 213359031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130953311) 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, 32362 + ... + 36182.

It is an arithmetic number, because the mean of its divisors is an integer number (3130218).

Almost surely, 2^130953312 is an apocalyptic number.

130953312 is a gapful number since it is divisible by the number (12) 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 130953312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225375696).

130953312 is an abundant number, since it is smaller than the sum of its proper divisors (319798080).

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

130953312 is a wasteful number, since it uses less digits than its factorization.

130953312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 130953312 is about 11443.4833857528. The cubic root of 130953312 is about 507.8149655745.

The spelling of 130953312 in words is "one hundred thirty million, nine hundred fifty-three thousand, three hundred twelve".