130712400 has 720 divisors, whose sum is σ = 613502400. Its totient is φ = 26127360.

The previous prime is 130712383. The next prime is 130712429. The reversal of 130712400 is 4217031.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 6879591 + ... + 6879609.

Almost surely, 2^130712400 is an apocalyptic number.

130712400 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 130712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306751200).

130712400 is an abundant number, since it is smaller than the sum of its proper divisors (482790000).

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

130712400 is a wasteful number, since it uses less digits than its factorization.

130712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 130712400 is about 11432.9523746056. The cubic root of 130712400 is about 507.5033689828.

Adding to 130712400 its reverse (4217031), we get a palindrome (134929431).

The spelling of 130712400 in words is "one hundred thirty million, seven hundred twelve thousand, four hundred".