135769860 has 72 divisors (see below), whose sum is σ = 421902936. Its totient is φ = 35320320.

The previous prime is 135769859. The next prime is 135769861. The reversal of 135769860 is 68967531.

It is a happy number.

135769860 is a `hidden beast` number, since 13 + 576 + 9 + 8 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (135769859) and next prime (135769861).

It can be written as a sum of positive squares in 4 ways, for example, as 10150596 + 125619264 = 3186^2 + 11208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135769861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1819 + ... + 16578.

It is an arithmetic number, because the mean of its divisors is an integer number (5859763).

Almost surely, 2^135769860 is an apocalyptic number.

135769860 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 135769860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210951468).

135769860 is an abundant number, since it is smaller than the sum of its proper divisors (286133076).

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

135769860 is a wasteful number, since it uses less digits than its factorization.

135769860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18453 (or 18448 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 135769860 is about 11652.0324407375. The cubic root of 135769860 is about 513.9660784994.

It can be divided in two parts, 13576 and 9860, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 135769860 in words is "one hundred thirty-five million, seven hundred sixty-nine thousand, eight hundred sixty".