130764480 has 448 divisors, whose sum is σ = 544250880. Its totient is φ = 25804800.

The previous prime is 130764467. The next prime is 130764497. The reversal of 130764480 is 84467031.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2143650 + ... + 2143710.

Almost surely, 2^130764480 is an apocalyptic number.

130764480 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 130764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272125440).

130764480 is an abundant number, since it is smaller than the sum of its proper divisors (413486400).

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

130764480 is a wasteful number, since it uses less digits than its factorization.

130764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 130764480 is about 11435.2297746919. The cubic root of 130764480 is about 507.5707618900.

The spelling of 130764480 in words is "one hundred thirty million, seven hundred sixty-four thousand, four hundred eighty".