142614991782900 has 6048 divisors, whose sum is σ = 664584531867648. Its totient is φ = 25734404505600.

The previous prime is 142614991782899. The next prime is 142614991782911. The reversal of 142614991782900 is 9287199416241.

142614991782900 is a `hidden beast` number, since 1 + 4 + 2 + 61 + 499 + 1 + 7 + 82 + 9 + 0 + 0 = 666.

142614991782900 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 2015 ways as a sum of consecutive naturals, for example, 1262079573244 + ... + 1262079573356.

It is an arithmetic number, because the mean of its divisors is an integer number (109885008576).

Almost surely, 2^{142614991782900} is an apocalyptic number.

142614991782900 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 142614991782900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332292265933824).

142614991782900 is an abundant number, since it is smaller than the sum of its proper divisors (521969540084748).

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

142614991782900 is a wasteful number, since it uses less digits than its factorization.

142614991782900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 142614991782900 in words is "one hundred forty-two trillion, six hundred fourteen billion, nine hundred ninety-one million, seven hundred eighty-two thousand, nine hundred".