135976560 has 80 divisors (see below), whose sum is σ = 422785440. Its totient is φ = 36152320.

The previous prime is 135976553. The next prime is 135976579. The reversal of 135976560 is 65679531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 110026 + ... + 111254.

It is an arithmetic number, because the mean of its divisors is an integer number (5284818).

Almost surely, 2^135976560 is an apocalyptic number.

135976560 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 135976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211392720).

135976560 is an abundant number, since it is smaller than the sum of its proper divisors (286808880).

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

135976560 is a wasteful number, since it uses less digits than its factorization.

135976560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 135976560 is about 11660.8987646750. The cubic root of 135976560 is about 514.2267719045.

The spelling of 135976560 in words is "one hundred thirty-five million, nine hundred seventy-six thousand, five hundred sixty".