1307358144 has 140 divisors (see below), whose sum is σ = 3970586928. Its totient is φ = 425088000.

The previous prime is 1307358139. The next prime is 1307358163. The reversal of 1307358144 is 4418537031.

It is a happy number.

1307358144 is a `hidden beast` number, since 1 + 3 + 0 + 73 + 581 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1307358099 and 1307358108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209469 + ... + 215619.

Almost surely, 2^1307358144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307358144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985293464).

1307358144 is an abundant number, since it is smaller than the sum of its proper divisors (2663228784).

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

1307358144 is an equidigital number, since it uses as much as digits as its factorization.

1307358144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1307358144 is about 36157.4078716935. The cubic root of 1307358144 is about 1093.4481451247.

It can be divided in two parts, 13073 and 58144, that added together give a palindrome (71217).

The spelling of 1307358144 in words is "one billion, three hundred seven million, three hundred fifty-eight thousand, one hundred forty-four".