130392288 has 288 divisors, whose sum is σ = 442713600. Its totient is φ = 37200384.

The previous prime is 130392287. The next prime is 130392343. The reversal of 130392288 is 882293031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130392287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2774281 + ... + 2774327.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 2^130392288 is an apocalyptic number.

130392288 is a gapful number since it is divisible by the number (18) 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 130392288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221356800).

130392288 is an abundant number, since it is smaller than the sum of its proper divisors (312321312).

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

130392288 is a wasteful number, since it uses less digits than its factorization.

130392288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 130392288 is about 11418.9442594313. The cubic root of 130392288 is about 507.0887418628.

The spelling of 130392288 in words is "one hundred thirty million, three hundred ninety-two thousand, two hundred eighty-eight".