135352601100 has 288 divisors, whose sum is σ = 461508794880. Its totient is φ = 33957792000.

The previous prime is 135352601081. The next prime is 135352601101. The reversal of 135352601100 is 1106253531.

135352601100 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 52 + 601 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135352601101) by changing a digit.

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, 3770235 + ... + 3805965.

Almost surely, 2^135352601100 is an apocalyptic number.

135352601100 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 135352601100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230754397440).

135352601100 is an abundant number, since it is smaller than the sum of its proper divisors (326156193780).

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

135352601100 is a wasteful number, since it uses less digits than its factorization.

135352601100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35838 (or 35825 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 135352601100 its reverse (1106253531), we get a palindrome (136458854631).

The spelling of 135352601100 in words is "one hundred thirty-five billion, three hundred fifty-two million, six hundred one thousand, one hundred".