152340144000 has 512 divisors, whose sum is σ = 556181683200. Its totient is φ = 36578304000.

The previous prime is 152340143981. The next prime is 152340144013. The reversal of 152340144000 is 441043251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57550677 + ... + 57553323.

It is an arithmetic number, because the mean of its divisors is an integer number (1086292350).

Almost surely, 2^152340144000 is an apocalyptic number.

152340144000 is a gapful number since it is divisible by the number (10) 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 152340144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278090841600).

152340144000 is an abundant number, since it is smaller than the sum of its proper divisors (403841539200).

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

152340144000 is a wasteful number, since it uses less digits than its factorization.

152340144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 152340144000 its reverse (441043251), we get a palindrome (152781187251).

The spelling of 152340144000 in words is "one hundred fifty-two billion, three hundred forty million, one hundred forty-four thousand".