130451328 has 144 divisors (see below), whose sum is σ = 436863960. Its totient is φ = 37255680.

The previous prime is 130451327. The next prime is 130451329. The reversal of 130451328 is 823154031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130451327) and next prime (130451329).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130451327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55293 + ... + 57603.

Almost surely, 2^130451328 is an apocalyptic number.

130451328 is a gapful number since it is divisible by the number (18) 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 130451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218431980).

130451328 is an abundant number, since it is smaller than the sum of its proper divisors (306412632).

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

130451328 is a wasteful number, since it uses less digits than its factorization.

130451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130451328 is about 11421.5291445585. The cubic root of 130451328 is about 507.1652647981.

The spelling of 130451328 in words is "one hundred thirty million, four hundred fifty-one thousand, three hundred twenty-eight".