1314289152 has 400 divisors, whose sum is σ = 4444304832. Its totient is φ = 383201280.

The previous prime is 1314289117. The next prime is 1314289169. The reversal of 1314289152 is 2519824131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19616223 + ... + 19616289.

Almost surely, 2^1314289152 is an apocalyptic number.

1314289152 is a gapful number since it is divisible by the number (12) 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 1314289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222152416).

1314289152 is an abundant number, since it is smaller than the sum of its proper divisors (3130015680).

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

1314289152 is an equidigital number, since it uses as much as digits as its factorization.

1314289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1314289152 is about 36253.1260996897. The cubic root of 1314289152 is about 1095.3770591123.

The spelling of 1314289152 in words is "one billion, three hundred fourteen million, two hundred eighty-nine thousand, one hundred fifty-two".