144129636 has 144 divisors (see below), whose sum is σ = 436660224. Its totient is φ = 39227328.

The previous prime is 144129619. The next prime is 144129673. The reversal of 144129636 is 636921441.

144129636 is a `hidden beast` number, since 1 + 4 + 4 + 12 + 9 + 636 = 666.

144129636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 144129636.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509151 + ... + 509433.

Almost surely, 2^144129636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144129636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218330112).

144129636 is an abundant number, since it is smaller than the sum of its proper divisors (292530588).

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

144129636 is a wasteful number, since it uses less digits than its factorization.

144129636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 144129636 is about 12005.4002848718. The cubic root of 144129636 is about 524.3055198285.

The spelling of 144129636 in words is "one hundred forty-four million, one hundred twenty-nine thousand, six hundred thirty-six".