130662400 has 180 divisors, whose sum is σ = 365679720. Its totient is φ = 45875200.

The previous prime is 130662361. The next prime is 130662409. The reversal of 130662400 is 4266031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130662409) 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, 4505586 + ... + 4505614.

It is an arithmetic number, because the mean of its divisors is an integer number (2031554).

Almost surely, 2^130662400 is an apocalyptic number.

130662400 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 130662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182839860).

130662400 is an abundant number, since it is smaller than the sum of its proper divisors (235017320).

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

130662400 is an equidigital number, since it uses as much as digits as its factorization.

130662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 130662400 is about 11430.7655036747. The cubic root of 130662400 is about 507.4386508060.

The spelling of 130662400 in words is "one hundred thirty million, six hundred sixty-two thousand, four hundred".