1307136400 has 30 divisors (see below), whose sum is σ = 3140396162. Its totient is φ = 522854400.

The previous prime is 1307136371. The next prime is 1307136461. The reversal of 1307136400 is 46317031.

It can be written as a sum of positive squares in 3 ways, for example, as 75968656 + 1231167744 = 8716^2 + 35088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1633521 + ... + 1634320.

Almost surely, 2^1307136400 is an apocalyptic number.

1307136400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1307136400 is an abundant number, since it is smaller than the sum of its proper divisors (1833259762).

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

1307136400 is a wasteful number, since it uses less digits than its factorization.

1307136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267859 (or 3267848 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 1307136400 is about 36154.3413714038. The cubic root of 1307136400 is about 1093.3863208836.

The spelling of 1307136400 in words is "one billion, three hundred seven million, one hundred thirty-six thousand, four hundred".