1307136 has 80 divisors (see below), whose sum is σ = 3731904. Its totient is φ = 405504.

The previous prime is 1307123. The next prime is 1307153. The reversal of 1307136 is 6317031.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35310 + ... + 35346.

2^1307136 is an apocalyptic number.

1307136 is a gapful number since it is divisible by the number (16) 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 1307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865952).

1307136 is an abundant number, since it is smaller than the sum of its proper divisors (2424768).

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

1307136 is an equidigital number, since it uses as much as digits as its factorization.

1307136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 1307136 is about 1143.3004854368. The cubic root of 1307136 is about 109.3386209354.

The spelling of 1307136 in words is "one million, three hundred seven thousand, one hundred thirty-six".