135236626224 has 160 divisors (see below), whose sum is σ = 410310405120. Its totient is φ = 37571890176.

The previous prime is 135236626223. The next prime is 135236626229. The reversal of 135236626224 is 422626632531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (135236626223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38276362 + ... + 38279894.

It is an arithmetic number, because the mean of its divisors is an integer number (2564440032).

Almost surely, 2^135236626224 is an apocalyptic number.

135236626224 is a gapful number since it is divisible by the number (14) 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 135236626224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205155202560).

135236626224 is an abundant number, since it is smaller than the sum of its proper divisors (275073778896).

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

135236626224 is a wasteful number, since it uses less digits than its factorization.

135236626224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6667 (or 6661 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The spelling of 135236626224 in words is "one hundred thirty-five billion, two hundred thirty-six million, six hundred twenty-six thousand, two hundred twenty-four".