1315155400 has 96 divisors (see below), whose sum is σ = 3302366760. Its totient is φ = 484208640.

The previous prime is 1315155383. The next prime is 1315155419. The reversal of 1315155400 is 45515131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 32512804 + 1282642596 = 5702^2 + 35814^2 .

It is a super-2 number, since 2×1315155400² = 3459267452298320000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1541374 + ... + 1542226.

Almost surely, 2^1315155400 is an apocalyptic number.

1315155400 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 1315155400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651183380).

1315155400 is an abundant number, since it is smaller than the sum of its proper divisors (1987211360).

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

1315155400 is a wasteful number, since it uses less digits than its factorization.

1315155400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1315155400 is about 36265.0713497161. The cubic root of 1315155400 is about 1095.6176606053.

The spelling of 1315155400 in words is "one billion, three hundred fifteen million, one hundred fifty-five thousand, four hundred".