152315530144 has 96 divisors (see below), whose sum is σ = 307008225216. Its totient is φ = 74365931520.

The previous prime is 152315530123. The next prime is 152315530223. The reversal of 152315530144 is 441035513251.

152315530144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259481019 + ... + 259481605.

It is an arithmetic number, because the mean of its divisors is an integer number (3198002346).

Almost surely, 2^152315530144 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 152315530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153504112608).

152315530144 is an abundant number, since it is smaller than the sum of its proper divisors (154692695072).

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

152315530144 is a wasteful number, since it uses less digits than its factorization.

152315530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 152315530144 in words is "one hundred fifty-two billion, three hundred fifteen million, five hundred thirty thousand, one hundred forty-four".