130342400 has 120 divisors (see below), whose sum is σ = 342500400. Its totient is φ = 48988160.

The previous prime is 130342397. The next prime is 130342409. The reversal of 130342400 is 4243031.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130342409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217301 + ... + 217899.

It is an arithmetic number, because the mean of its divisors is an integer number (2854170).

Almost surely, 2^130342400 is an apocalyptic number.

130342400 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 130342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171250200).

130342400 is an abundant number, since it is smaller than the sum of its proper divisors (212158000).

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

130342400 is an equidigital number, since it uses as much as digits as its factorization.

130342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 130342400 is about 11416.7596103273. The cubic root of 130342400 is about 507.0240630117.

Adding to 130342400 its reverse (4243031), we get a palindrome (134585431).

The spelling of 130342400 in words is "one hundred thirty million, three hundred forty-two thousand, four hundred".