135769920 has 448 divisors, whose sum is σ = 540739584. Its totient is φ = 28385280.

The previous prime is 135769919. The next prime is 135769937. The reversal of 135769920 is 29967531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3157419 + ... + 3157461.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 2^135769920 is an apocalyptic number.

135769920 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 135769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270369792).

135769920 is an abundant number, since it is smaller than the sum of its proper divisors (404969664).

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

135769920 is a wasteful number, since it uses less digits than its factorization.

135769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 135769920 is about 11652.0350153954. The cubic root of 135769920 is about 513.9661542108.

The spelling of 135769920 in words is "one hundred thirty-five million, seven hundred sixty-nine thousand, nine hundred twenty".