1314153720 has 448 divisors, whose sum is σ = 5141996640. Its totient is φ = 298598400.

The previous prime is 1314153719. The next prime is 1314153721. The reversal of 1314153720 is 273514131.

It is an interprime number because it is at equal distance from previous prime (1314153719) and next prime (1314153721).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314153721) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5452800 + ... + 5453040.

Almost surely, 2^1314153720 is an apocalyptic number.

1314153720 is a gapful number since it is divisible by the number (10) 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 1314153720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570998320).

1314153720 is an abundant number, since it is smaller than the sum of its proper divisors (3827842920).

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

1314153720 is a wasteful number, since it uses less digits than its factorization.

1314153720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1314153720 is about 36251.2581850617. The cubic root of 1314153720 is about 1095.3394331450.

Adding to 1314153720 its reverse (273514131), we get a palindrome (1587667851).

The spelling of 1314153720 in words is "one billion, three hundred fourteen million, one hundred fifty-three thousand, seven hundred twenty".