135202635360 has 1152 divisors, whose sum is σ = 542090465280. Its totient is φ = 30433148928.

The previous prime is 135202635311. The next prime is 135202635427. The reversal of 135202635360 is 63536202531.

135202635360 is a `hidden beast` number, since 1 + 3 + 520 + 26 + 3 + 53 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1064587617 + ... + 1064587743.

It is an arithmetic number, because the mean of its divisors is an integer number (470564640).

Almost surely, 2^135202635360 is an apocalyptic number.

135202635360 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 135202635360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271045232640).

135202635360 is an abundant number, since it is smaller than the sum of its proper divisors (406887829920).

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

135202635360 is a wasteful number, since it uses less digits than its factorization.

135202635360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 135202635360 its reverse (63536202531), we get a palindrome (198738837891).

The spelling of 135202635360 in words is "one hundred thirty-five billion, two hundred two million, six hundred thirty-five thousand, three hundred sixty".