130405200 has 120 divisors (see below), whose sum is σ = 420318336. Its totient is φ = 34560000.

The previous prime is 130405169. The next prime is 130405211. The reversal of 130405200 is 2504031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130405200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325000 + ... + 325400.

Almost surely, 2^130405200 is an apocalyptic number.

130405200 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 130405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210159168).

130405200 is an abundant number, since it is smaller than the sum of its proper divisors (289913136).

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

130405200 is a wasteful number, since it uses less digits than its factorization.

130405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 130405200 is about 11419.5096216957. The cubic root of 130405200 is about 507.1054793397.

Adding to 130405200 its reverse (2504031), we get a palindrome (132909231).

The spelling of 130405200 in words is "one hundred thirty million, four hundred five thousand, two hundred".