130727400 has 96 divisors (see below), whose sum is σ = 422919360. Its totient is φ = 33341440.

The previous prime is 130727381. The next prime is 130727411. The reversal of 130727400 is 4727031.

It is a super-2 number, since 2×130727400² = 34179306221520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 9064 + ... + 18536.

It is an arithmetic number, because the mean of its divisors is an integer number (4405410).

Almost surely, 2^130727400 is an apocalyptic number.

130727400 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 130727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211459680).

130727400 is an abundant number, since it is smaller than the sum of its proper divisors (292191960).

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

130727400 is a wasteful number, since it uses less digits than its factorization.

130727400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 130727400 is about 11433.6083543210. The cubic root of 130727400 is about 507.5227812175.

The spelling of 130727400 in words is "one hundred thirty million, seven hundred twenty-seven thousand, four hundred".