1253144144 has 80 divisors (see below), whose sum is σ = 2924193792. Its totient is φ = 508616064.

The previous prime is 1253144117. The next prime is 1253144147. The reversal of 1253144144 is 4414413521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253144147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262967 + ... + 267689.

Almost surely, 2^1253144144 is an apocalyptic number.

1253144144 is a gapful number since it is divisible by the number (14) 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 1253144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462096896).

1253144144 is an abundant number, since it is smaller than the sum of its proper divisors (1671049648).

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

1253144144 is a wasteful number, since it uses less digits than its factorization.

1253144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4858 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 1253144144 is about 35399.7760444893. The cubic root of 1253144144 is about 1078.1197691985.

Adding to 1253144144 its reverse (4414413521), we get a palindrome (5667557665).

The spelling of 1253144144 in words is "one billion, two hundred fifty-three million, one hundred forty-four thousand, one hundred forty-four".