130970400 has 288 divisors, whose sum is σ = 480344256. Its totient is φ = 30976000.

The previous prime is 130970393. The next prime is 130970407. The reversal of 130970400 is 4079031.

130970400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130970393) and next prime (130970407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130970407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3194380 + ... + 3194420.

It is an arithmetic number, because the mean of its divisors is an integer number (1667862).

Almost surely, 2^130970400 is an apocalyptic number.

130970400 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 130970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240172128).

130970400 is an abundant number, since it is smaller than the sum of its proper divisors (349373856).

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

130970400 is a wasteful number, since it uses less digits than its factorization.

130970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 130970400 is about 11444.2299872032. The cubic root of 130970400 is about 507.8370527458.

The spelling of 130970400 in words is "one hundred thirty million, nine hundred seventy thousand, four hundred".