135193508352 has 960 divisors, whose sum is σ = 506884224000. Its totient is φ = 34750881792.

The previous prime is 135193508293. The next prime is 135193508399. The reversal of 135193508352 is 253805391531.

135193508352 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 93 + 508 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135193508298 and 135193508307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972615099 + ... + 972615237.

It is an arithmetic number, because the mean of its divisors is an integer number (528004400).

Almost surely, 2^135193508352 is an apocalyptic number.

135193508352 is a gapful number since it is divisible by the number (12) 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 135193508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253442112000).

135193508352 is an abundant number, since it is smaller than the sum of its proper divisors (371690715648).

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

135193508352 is a wasteful number, since it uses less digits than its factorization.

135193508352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

Adding to 135193508352 its reverse (253805391531), we get a palindrome (388998899883).

It can be divided in two parts, 135193 and 508352, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 135193508352 in words is "one hundred thirty-five billion, one hundred ninety-three million, five hundred eight thousand, three hundred fifty-two".