130616465280 has 256 divisors, whose sum is σ = 476177909760. Its totient is φ = 29832560640.

The previous prime is 130616465233. The next prime is 130616465297. The reversal of 130616465280 is 82564616031.

It is a Cunningham number, because it is equal to 361409²-1.

It is a super-2 number, since 2×130616465280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23127417 + ... + 23133063.

It is an arithmetic number, because the mean of its divisors is an integer number (1860069960).

Almost surely, 2^130616465280 is an apocalyptic number.

130616465280 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 130616465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238088954880).

130616465280 is an abundant number, since it is smaller than the sum of its proper divisors (345561444480).

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

130616465280 is a wasteful number, since it uses less digits than its factorization.

130616465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 130616465280 in words is "one hundred thirty billion, six hundred sixteen million, four hundred sixty-five thousand, two hundred eighty".