134242431440 has 160 divisors (see below), whose sum is σ = 348674245920. Its totient is φ = 47724945408.

The previous prime is 134242431397. The next prime is 134242431457. The reversal of 134242431440 is 44134242431.

It can be written as a sum of positive squares in 16 ways, for example, as 23843065744 + 110399365696 = 154412^2 + 332264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 134242431397 and 134242431406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11243714 + ... + 11255646.

It is an arithmetic number, because the mean of its divisors is an integer number (2179214037).

Almost surely, 2^134242431440 is an apocalyptic number.

134242431440 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 134242431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174337122960).

134242431440 is an abundant number, since it is smaller than the sum of its proper divisors (214431814480).

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

134242431440 is a wasteful number, since it uses less digits than its factorization.

134242431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12361 (or 12355 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 134242431440 its reverse (44134242431), we get a palindrome (178376673871).

The spelling of 134242431440 in words is "one hundred thirty-four billion, two hundred forty-two million, four hundred thirty-one thousand, four hundred forty".