1144129536 has 432 divisors, whose sum is σ = 3964942800. Its totient is φ = 328458240.

The previous prime is 1144129513. The next prime is 1144129541. The reversal of 1144129536 is 6359214411.

It is a happy number.

1144129536 is a `hidden beast` number, since 114 + 4 + 1 + 2 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1144129536.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60217335 + ... + 60217353.

Almost surely, 2^1144129536 is an apocalyptic number.

1144129536 is a gapful number since it is divisible by the number (16) 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 1144129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982471400).

1144129536 is an abundant number, since it is smaller than the sum of its proper divisors (2820813264).

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

1144129536 is an equidigital number, since it uses as much as digits as its factorization.

1144129536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 35 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1144129536 is about 33824.9839024352. The cubic root of 1144129536 is about 1045.9037795347.

The spelling of 1144129536 in words is "one billion, one hundred forty-four million, one hundred twenty-nine thousand, five hundred thirty-six".