130611264 has 84 divisors (see below), whose sum is σ = 402025104. Its totient is φ = 37314816.

The previous prime is 130611259. The next prime is 130611269. The reversal of 130611264 is 462116031.

It is an interprime number because it is at equal distance from previous prime (130611259) and next prime (130611269).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is not an unprimeable number, because it can be changed into a prime (130611269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2467 + ... + 16349.

Almost surely, 2^130611264 is an apocalyptic number.

130611264 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 130611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201012552).

130611264 is an abundant number, since it is smaller than the sum of its proper divisors (271413840).

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

130611264 is a wasteful number, since it uses less digits than its factorization.

130611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13912 (or 13895 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 130611264 is about 11428.5285142051. The cubic root of 130611264 is about 507.3724451528.

Adding to 130611264 its reverse (462116031), we get a palindrome (592727295).

The spelling of 130611264 in words is "one hundred thirty million, six hundred eleven thousand, two hundred sixty-four".