130401180 has 288 divisors, whose sum is σ = 513676800. Its totient is φ = 26002944.

The previous prime is 130401179. The next prime is 130401211. The reversal of 130401180 is 81104031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311011 + ... + 311429.

It is an arithmetic number, because the mean of its divisors is an integer number (1783600).

Almost surely, 2^130401180 is an apocalyptic number.

130401180 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 130401180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256838400).

130401180 is an abundant number, since it is smaller than the sum of its proper divisors (383275620).

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

130401180 is a wasteful number, since it uses less digits than its factorization.

130401180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 130401180 is about 11419.3336057758. Note that the first 3 decimals coincide. The cubic root of 130401180 is about 507.1002684407.

The spelling of 130401180 in words is "one hundred thirty million, four hundred one thousand, one hundred eighty".