135256100 has 144 divisors (see below), whose sum is σ = 362643456. Its totient is φ = 42768000.

The previous prime is 135256081. The next prime is 135256109. The reversal of 135256100 is 1652531.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135256109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498965 + ... + 499235.

Almost surely, 2^135256100 is an apocalyptic number.

135256100 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 135256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181321728).

135256100 is an abundant number, since it is smaller than the sum of its proper divisors (227387356).

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

135256100 is a wasteful number, since it uses less digits than its factorization.

135256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 135256100 is about 11629.9656061400. The cubic root of 135256100 is about 513.3169678634.

The spelling of 135256100 in words is "one hundred thirty-five million, two hundred fifty-six thousand, one hundred".