130507776 has 297 divisors, whose sum is σ = 465665889. Its totient is φ = 35094528.

The previous prime is 130507753. The next prime is 130507807. The reversal of 130507776 is 677705031.

The square root of 130507776 is 11424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 28901376 = 10080^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130507776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7676920 + ... + 7676936.

Almost surely, 2^130507776 is an apocalyptic number.

130507776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130507776 is the 11424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130507776

130507776 is an abundant number, since it is smaller than the sum of its proper divisors (335158113).

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

130507776 is a wasteful number, since it uses less digits than its factorization.

130507776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The cubic root of 130507776 is about 507.2384066025.

Multiplying 130507776 by its sum of digits (36), we get a square (4698279936 = 68544²).

130507776 divided by its sum of digits (36) gives a square (3625216 = 1904²).

The spelling of 130507776 in words is "one hundred thirty million, five hundred seven thousand, seven hundred seventy-six".