135746100 has 216 divisors, whose sum is σ = 503717760. Its totient is φ = 29917440.

The previous prime is 135746099. The next prime is 135746113. The reversal of 135746100 is 1647531.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 182329 + ... + 183071.

Almost surely, 2^135746100 is an apocalyptic number.

135746100 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 135746100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251858880).

135746100 is an abundant number, since it is smaller than the sum of its proper divisors (367971660).

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

135746100 is a wasteful number, since it uses less digits than its factorization.

135746100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135746100 is about 11651.0128315095. The cubic root of 135746100 is about 513.9360950494.

The spelling of 135746100 in words is "one hundred thirty-five million, seven hundred forty-six thousand, one hundred".