130527264 has 96 divisors (see below), whose sum is σ = 412231680. Its totient is φ = 35327232.

The previous prime is 130527253. The next prime is 130527281. The reversal of 130527264 is 462725031.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7657 + ... + 17879.

It is an arithmetic number, because the mean of its divisors is an integer number (4294080).

Almost surely, 2^130527264 is an apocalyptic number.

130527264 is a gapful number since it is divisible by the number (14) 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 130527264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206115840).

130527264 is an abundant number, since it is smaller than the sum of its proper divisors (281704416).

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

130527264 is a wasteful number, since it uses less digits than its factorization.

130527264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10262 (or 10254 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 130527264 is about 11424.8529093376. The cubic root of 130527264 is about 507.2636530422.

The spelling of 130527264 in words is "one hundred thirty million, five hundred twenty-seven thousand, two hundred sixty-four".