152564440410144 has 72 divisors (see below), whose sum is σ = 495834431339520. Its totient is φ = 43589840116608.

The previous prime is 152564440410143. The next prime is 152564440410211. The reversal of 152564440410144 is 441014044465251.

152564440410144 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 64 + 440 + 4 + 1 + 0 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 152564440410144.

It is not an unprimeable number, because it can be changed into a prime (152564440410143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37838400864 + ... + 37838404895.

It is an arithmetic number, because the mean of its divisors is an integer number (6886589324160).

Almost surely, 2^{152564440410144} is an apocalyptic number.

152564440410144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152564440410144 is an abundant number, since it is smaller than the sum of its proper divisors (343269990929376).

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

152564440410144 is a wasteful number, since it uses less digits than its factorization.

152564440410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75676805782 (or 75676805771 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

Adding to 152564440410144 its reverse (441014044465251), we get a palindrome (593578484875395).

The spelling of 152564440410144 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, four hundred forty million, four hundred ten thousand, one hundred forty-four".