135923840 has 192 divisors, whose sum is σ = 382861080. Its totient is φ = 45711360.

The previous prime is 135923833. The next prime is 135923861. The reversal of 135923840 is 48329531.

135923840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 103388224 + 32535616 = 10168^2 + 5704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135923840.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4384625 + ... + 4384655.

Almost surely, 2^135923840 is an apocalyptic number.

135923840 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 135923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191430540).

135923840 is an abundant number, since it is smaller than the sum of its proper divisors (246937240).

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

135923840 is a wasteful number, since it uses less digits than its factorization.

135923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 135923840 is about 11658.6379993548. The cubic root of 135923840 is about 514.1603056944.

The spelling of 135923840 in words is "one hundred thirty-five million, nine hundred twenty-three thousand, eight hundred forty".