130256640 has 144 divisors (see below), whose sum is σ = 462352800. Its totient is φ = 34725888.

The previous prime is 130256639. The next prime is 130256641. The reversal of 130256640 is 46652031.

130256640 is a `hidden beast` number, since 13 + 0 + 2 + 5 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (130256639) and next prime (130256641).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130256641) 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, 32676 + ... + 36444.

Almost surely, 2^130256640 is an apocalyptic number.

130256640 is a gapful number since it is divisible by the number (10) 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 130256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231176400).

130256640 is an abundant number, since it is smaller than the sum of its proper divisors (332096160).

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

130256640 is an equidigital number, since it uses as much as digits as its factorization.

130256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130256640 is about 11413.0031104876. The cubic root of 130256640 is about 506.9128382077.

The spelling of 130256640 in words is "one hundred thirty million, two hundred fifty-six thousand, six hundred forty".