135862100 has 72 divisors (see below), whose sum is σ = 332791200. Its totient is φ = 47689600.

The previous prime is 135862093. The next prime is 135862117. The reversal of 135862100 is 1268531.

It is a self number, because there is not a number n which added to its sum of digits gives 135862100.

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 23 ways as a sum of consecutive naturals, for example, 29771 + ... + 34029.

It is an arithmetic number, because the mean of its divisors is an integer number (4622100).

Almost surely, 2^135862100 is an apocalyptic number.

135862100 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 135862100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166395600).

135862100 is an abundant number, since it is smaller than the sum of its proper divisors (196929100).

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

135862100 is a wasteful number, since it uses less digits than its factorization.

135862100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 135862100 is about 11655.9898764541. The cubic root of 135862100 is about 514.0824457574.

The spelling of 135862100 in words is "one hundred thirty-five million, eight hundred sixty-two thousand, one hundred".