130667303760400 has 405 divisors, whose sum is σ = 348109878784647. Its totient is φ = 47099295513600.

The previous prime is 130667303760377. The next prime is 130667303760407. The reversal of 130667303760400 is 4067303766031.

The square root of 130667303760400 is 11430980.

It is a perfect power (a square), and thus also a powerful number.

130667303760400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25733340422416 + 104933963337984 = 5072804^2 + 10243728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130667303760407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 560803878684 + ... + 560803878916.

Almost surely, 2^{130667303760400} is an apocalyptic number.

130667303760400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130667303760400 is the 11430980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130667303760400

130667303760400 is an abundant number, since it is smaller than the sum of its proper divisors (217442575024247).

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

130667303760400 is an equidigital number, since it uses as much as digits as its factorization.

130667303760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 46.

The spelling of 130667303760400 in words is "one hundred thirty trillion, six hundred sixty-seven billion, three hundred three million, seven hundred sixty thousand, four hundred".