135801123455634 has 128 divisors (see below), whose sum is σ = 337756666490880. Its totient is φ = 35443624667904.

The previous prime is 135801123455579. The next prime is 135801123455639. The reversal of 135801123455634 is 436554321108531.

It is not an unprimeable number, because it can be changed into a prime (135801123455639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81223704 + ... + 82878780.

It is an arithmetic number, because the mean of its divisors is an integer number (2638723956960).

Almost surely, 2^{135801123455634} is an apocalyptic number.

135801123455634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135801123455634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168878333245440).

135801123455634 is an abundant number, since it is smaller than the sum of its proper divisors (201955543035246).

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

135801123455634 is a wasteful number, since it uses less digits than its factorization.

135801123455634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656664.

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 135801123455634 in words is "one hundred thirty-five trillion, eight hundred one billion, one hundred twenty-three million, four hundred fifty-five thousand, six hundred thirty-four".