142321205106135 has 192 divisors, whose sum is σ = 273881134365696. Its totient is φ = 67794402816000.

The previous prime is 142321205106097. The next prime is 142321205106163. The reversal of 142321205106135 is 531601502123241.

142321205106135 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 1 + 2 + 0 + 510 + 6 + 135 = 666.

It is not a de Polignac number, because 142321205106135 - 2¹⁰ = 142321205105111 is a prime.

It is a super-2 number, since 2×142321205106135² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142321205106135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5272509199 + ... + 5272536191.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464241488).

Almost surely, 2^{142321205106135} is an apocalyptic number.

142321205106135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142321205106135 is a deficient number, since it is larger than the sum of its proper divisors (131559929259561).

142321205106135 is a wasteful number, since it uses less digits than its factorization.

142321205106135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27926 (or 27923 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 142321205106135 its reverse (531601502123241), we get a palindrome (673922707229376).

The spelling of 142321205106135 in words is "one hundred forty-two trillion, three hundred twenty-one billion, two hundred five million, one hundred six thousand, one hundred thirty-five".