142256372500 has 360 divisors, whose sum is σ = 367510983840. Its totient is φ = 47979360000.

The previous prime is 142256372497. The next prime is 142256372501. The reversal of 142256372500 is 5273652241.

142256372500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142256372500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142256372501) 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 119 ways as a sum of consecutive naturals, for example, 304617267 + ... + 304617733.

It is an arithmetic number, because the mean of its divisors is an integer number (1020863844).

Almost surely, 2^142256372500 is an apocalyptic number.

142256372500 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 142256372500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183755491920).

142256372500 is an abundant number, since it is smaller than the sum of its proper divisors (225254611340).

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

142256372500 is a wasteful number, since it uses less digits than its factorization.

142256372500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 142256372500 in words is "one hundred forty-two billion, two hundred fifty-six million, three hundred seventy-two thousand, five hundred".