135294163200 has 648 divisors, whose sum is σ = 555116289728. Its totient is φ = 30795448320.

The previous prime is 135294163181. The next prime is 135294163231. The reversal of 135294163200 is 2361492531.

135294163200 is a `hidden beast` number, since 1 + 3 + 5 + 294 + 163 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123781854 + ... + 123782946.

Almost surely, 2^135294163200 is an apocalyptic number.

135294163200 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 135294163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277558144864).

135294163200 is an abundant number, since it is smaller than the sum of its proper divisors (419822126528).

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

135294163200 is a wasteful number, since it uses less digits than its factorization.

135294163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 1352941 and 63200, that added together give a palindrome (1416141).

The spelling of 135294163200 in words is "one hundred thirty-five billion, two hundred ninety-four million, one hundred sixty-three thousand, two hundred".