152142018600 has 384 divisors, whose sum is σ = 554939481600. Its totient is φ = 33993907200.

The previous prime is 152142018557. The next prime is 152142018601. The reversal of 152142018600 is 6810241251.

152142018600 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 (30).

It is not an unprimeable number, because it can be changed into a prime (152142018601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 96352611 + ... + 96354189.

It is an arithmetic number, because the mean of its divisors is an integer number (1445154900).

Almost surely, 2^152142018600 is an apocalyptic number.

152142018600 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 152142018600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277469740800).

152142018600 is an abundant number, since it is smaller than the sum of its proper divisors (402797463000).

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

152142018600 is a wasteful number, since it uses less digits than its factorization.

152142018600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 152142018600 its reverse (6810241251), we get a palindrome (158952259851).

The spelling of 152142018600 in words is "one hundred fifty-two billion, one hundred forty-two million, eighteen thousand, six hundred".