135123100 has 72 divisors (see below), whose sum is σ = 337790880. Its totient is φ = 45957120.

The previous prime is 135123097. The next prime is 135123119. The reversal of 135123100 is 1321531.

It is a super-2 number, since 2×135123100² = 36516504307220000, which contains 22 as substring.

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, 95196 + ... + 96604.

It is an arithmetic number, because the mean of its divisors is an integer number (4691540).

Almost surely, 2^135123100 is an apocalyptic number.

135123100 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 135123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168895440).

135123100 is an abundant number, since it is smaller than the sum of its proper divisors (202667780).

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

135123100 is a wasteful number, since it uses less digits than its factorization.

135123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 135123100 is about 11624.2462121206. The cubic root of 135123100 is about 513.1486611070.

Adding to 135123100 its reverse (1321531), we get a palindrome (136444631).

The spelling of 135123100 in words is "one hundred thirty-five million, one hundred twenty-three thousand, one hundred".