135123040 has 96 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 49465344.

The previous prime is 135123029. The next prime is 135123061. The reversal of 135123040 is 40321531.

It is a junction number, because it is equal to n+sod(n) for n = 135122999 and 135123017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347166 + ... + 347554.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2^135123040 is an apocalyptic number.

135123040 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 135123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

135123040 is an abundant number, since it is smaller than the sum of its proper divisors (211608800).

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

135123040 is a wasteful number, since it uses less digits than its factorization.

135123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 135123040 is about 11624.2436313078. The cubic root of 135123040 is about 513.1485851542.

Adding to 135123040 its reverse (40321531), we get a palindrome (175444571).

The spelling of 135123040 in words is "one hundred thirty-five million, one hundred twenty-three thousand, forty".