135986760 has 288 divisors, whose sum is σ = 554594040. Its totient is φ = 28643328.

The previous prime is 135986737. The next prime is 135986761. The reversal of 135986760 is 67689531.

It is a happy number.

135986760 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 92505924 + 43480836 = 9618^2 + 6594^2 .

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

It is not an unprimeable number, because it can be changed into a prime (135986761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229024 + ... + 229616.

Almost surely, 2^135986760 is an apocalyptic number.

135986760 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 135986760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277297020).

135986760 is an abundant number, since it is smaller than the sum of its proper divisors (418607280).

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

135986760 is a wasteful number, since it uses less digits than its factorization.

135986760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

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

The square root of 135986760 is about 11661.3361155573. The cubic root of 135986760 is about 514.2396294684.

The spelling of 135986760 in words is "one hundred thirty-five million, nine hundred eighty-six thousand, seven hundred sixty".