152542566100 has 18 divisors (see below), whose sum is σ = 331017368654. Its totient is φ = 61017026400.

The previous prime is 152542566097. The next prime is 152542566103. The reversal of 152542566100 is 1665245251.

152542566100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152542566097) and next prime (152542566103).

It can be written as a sum of positive squares in 3 ways, for example, as 8163845316 + 144378720784 = 90354^2 + 379972^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152542566100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152542566103) 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 5 ways as a sum of consecutive naturals, for example, 762712731 + ... + 762712930.

Almost surely, 2^152542566100 is an apocalyptic number.

152542566100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152542566100 is an abundant number, since it is smaller than the sum of its proper divisors (178474802554).

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

152542566100 is a wasteful number, since it uses less digits than its factorization.

152542566100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525425675 (or 1525425668 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 152542566100 in words is "one hundred fifty-two billion, five hundred forty-two million, five hundred sixty-six thousand, one hundred".