142376761800 has 1536 divisors, whose sum is σ = 632042880000. Its totient is φ = 29628426240.

The previous prime is 142376761799. The next prime is 142376761927. The reversal of 142376761800 is 8167673241.

142376761800 is a `hidden beast` number, since 1 + 4 + 23 + 7 + 6 + 7 + 618 + 0 + 0 = 666.

It is a super-2 number, since 2×142376761800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1950366564 + ... + 1950366636.

It is an arithmetic number, because the mean of its divisors is an integer number (411486250).

Almost surely, 2^142376761800 is an apocalyptic number.

142376761800 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 142376761800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316021440000).

142376761800 is an abundant number, since it is smaller than the sum of its proper divisors (489666118200).

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

142376761800 is an equidigital number, since it uses as much as digits as its factorization.

142376761800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 142376761800 in words is "one hundred forty-two billion, three hundred seventy-six million, seven hundred sixty-one thousand, eight hundred".