144366152004 has 72 divisors (see below), whose sum is σ = 375863506200. Its totient is φ = 46687145472.

The previous prime is 144366151997. The next prime is 144366152009. The reversal of 144366152004 is 400251663441.

144366152004 is a `hidden beast` number, since 1 + 4 + 4 + 36 + 615 + 2 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67393198404 + 76972953600 = 259602^2 + 277440^2 .

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 144366152004.

It is not an unprimeable number, because it can be changed into a prime (144366152009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309592 + ... + 620144.

It is an arithmetic number, because the mean of its divisors is an integer number (5220326475).

Almost surely, 2^144366152004 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 144366152004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187931753100).

144366152004 is an abundant number, since it is smaller than the sum of its proper divisors (231497354196).

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

144366152004 is a wasteful number, since it uses less digits than its factorization.

144366152004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310949 (or 310944 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 144366152004 in words is "one hundred forty-four billion, three hundred sixty-six million, one hundred fifty-two thousand, four".