135323145100 has 216 divisors, whose sum is σ = 357012417104. Its totient is φ = 44193600000.

The previous prime is 135323145053. The next prime is 135323145131. The reversal of 135323145100 is 1541323531.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5808475 + ... + 5831725.

Almost surely, 2^135323145100 is an apocalyptic number.

135323145100 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 135323145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178506208552).

135323145100 is an abundant number, since it is smaller than the sum of its proper divisors (221689272004).

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

135323145100 is a wasteful number, since it uses less digits than its factorization.

135323145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23337 (or 23319 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 135323145100 its reverse (1541323531), we get a palindrome (136864468631).

The spelling of 135323145100 in words is "one hundred thirty-five billion, three hundred twenty-three million, one hundred forty-five thousand, one hundred".