135726110432 has 144 divisors (see below), whose sum is σ = 297132612336. Its totient is φ = 60979353600.

The previous prime is 135726110423. The next prime is 135726110441. The reversal of 135726110432 is 234011627531.

It is an interprime number because it is at equal distance from previous prime (135726110423) and next prime (135726110441).

It is a junction number, because it is equal to n+sod(n) for n = 135726110392 and 135726110401.

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 23 ways as a sum of consecutive naturals, for example, 175583198 + ... + 175583970.

It is an arithmetic number, because the mean of its divisors is an integer number (2063420919).

Almost surely, 2^135726110432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135726110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148566306168).

135726110432 is an abundant number, since it is smaller than the sum of its proper divisors (161406501904).

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

135726110432 is a wasteful number, since it uses less digits than its factorization.

135726110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 135726110432 its reverse (234011627531), we get a palindrome (369737737963).

The spelling of 135726110432 in words is "one hundred thirty-five billion, seven hundred twenty-six million, one hundred ten thousand, four hundred thirty-two".