130545312 has 96 divisors (see below), whose sum is σ = 371879424. Its totient is φ = 39936000.

The previous prime is 130545301. The next prime is 130545313. The reversal of 130545312 is 213545031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130545313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65937 + ... + 67887.

It is an arithmetic number, because the mean of its divisors is an integer number (3873744).

Almost surely, 2^130545312 is an apocalyptic number.

130545312 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 130545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185939712).

130545312 is an abundant number, since it is smaller than the sum of its proper divisors (241334112).

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

130545312 is a wasteful number, since it uses less digits than its factorization.

130545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 130545312 is about 11425.6427390322. The cubic root of 130545312 is about 507.2870317402.

The spelling of 130545312 in words is "one hundred thirty million, five hundred forty-five thousand, three hundred twelve".