130071264 has 96 divisors (see below), whose sum is σ = 371952000. Its totient is φ = 39642624.

The previous prime is 130071239. The next prime is 130071269. The reversal of 130071264 is 462170031.

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 (130071269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51667 + ... + 54125.

It is an arithmetic number, because the mean of its divisors is an integer number (3874500).

Almost surely, 2^130071264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130071264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185976000).

130071264 is an abundant number, since it is smaller than the sum of its proper divisors (241880736).

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

130071264 is a wasteful number, since it uses less digits than its factorization.

130071264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 130071264 is about 11404.8789559556. The cubic root of 130071264 is about 506.6722514004.

The spelling of 130071264 in words is "one hundred thirty million, seventy-one thousand, two hundred sixty-four".