135523195200 has 336 divisors, whose sum is σ = 495487512960. Its totient is φ = 36033085440.

The previous prime is 135523195189. The next prime is 135523195201. The reversal of 135523195200 is 2591325531.

135523195200 is a `hidden beast` number, since 13 + 552 + 3 + 1 + 95 + 2 + 0 + 0 = 666.

135523195200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135523195201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15245157 + ... + 15254043.

Almost surely, 2^135523195200 is an apocalyptic number.

135523195200 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 135523195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247743756480).

135523195200 is an abundant number, since it is smaller than the sum of its proper divisors (359964317760).

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

135523195200 is a wasteful number, since it uses less digits than its factorization.

135523195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271 (or 9250 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 135523195200 in words is "one hundred thirty-five billion, five hundred twenty-three million, one hundred ninety-five thousand, two hundred".