130000464 has 150 divisors (see below), whose sum is σ = 414072890. Its totient is φ = 39346560.

The previous prime is 130000459. The next prime is 130000469. The reversal of 130000464 is 464000031.

It is an interprime number because it is at equal distance from previous prime (130000459) and next prime (130000469).

It can be written as a sum of positive squares in only one way, i.e., 114318864 + 15681600 = 10692^2 + 3960^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130000469) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156402 + ... + 157230.

Almost surely, 2^130000464 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 130000464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207036445).

130000464 is an abundant number, since it is smaller than the sum of its proper divisors (284072426).

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

130000464 is a wasteful number, since it uses less digits than its factorization.

130000464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130000464 is about 11401.7745987193. The cubic root of 130000464 is about 506.5803046093.

Adding to 130000464 its reverse (464000031), we get a palindrome (594000495).

The spelling of 130000464 in words is "one hundred thirty million, four hundred sixty-four", and thus it is an aban number.