340135142112 has 576 divisors, whose sum is σ = 1094731545600. Its totient is φ = 102651494400.

The previous prime is 340135142111. The next prime is 340135142183. The reversal of 340135142112 is 211241531043.

340135142112 is a `hidden beast` number, since 3 + 401 + 3 + 5 + 142 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340135142111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 848217112 + ... + 848217512.

It is an arithmetic number, because the mean of its divisors is an integer number (1900575600).

Almost surely, 2^340135142112 is an apocalyptic number.

340135142112 is a gapful number since it is divisible by the number (32) 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 340135142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547365772800).

340135142112 is an abundant number, since it is smaller than the sum of its proper divisors (754596403488).

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

340135142112 is a wasteful number, since it uses less digits than its factorization.

340135142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 340135142112 its reverse (211241531043), we get a palindrome (551376673155).

The spelling of 340135142112 in words is "three hundred forty billion, one hundred thirty-five million, one hundred forty-two thousand, one hundred twelve".