142296000000 has 1260 divisors, whose sum is σ = 605879979012. Its totient is φ = 29568000000.

The previous prime is 142295999999. The next prime is 142296000079. The reversal of 142296000000 is 692241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 12935999995 + ... + 12936000005.

Almost surely, 2^142296000000 is an apocalyptic number.

142296000000 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 142296000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302939989506).

142296000000 is an abundant number, since it is smaller than the sum of its proper divisors (463583979012).

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

142296000000 is an frugal number, since it uses more digits than its factorization.

142296000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Multiplying 142296000000 by its sum of digits (24), we get a square (3415104000000 = 1848000²).

142296000000 divided by its sum of digits (24) gives a square (5929000000 = 77000²).

Multiplying 142296000000 by its product of nonzero digits (864), we get a square (122943744000000 = 11088000²).

Adding to 142296000000 its reverse (692241), we get a palindrome (142296692241).

The spelling of 142296000000 in words is "one hundred forty-two billion, two hundred ninety-six million", and thus it is an aban number.