135239760 has 320 divisors, whose sum is σ = 514252800. Its totient is φ = 32514048.

The previous prime is 135239759. The next prime is 135239779. The reversal of 135239760 is 67932531.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1064817 + ... + 1064943.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^135239760 is an apocalyptic number.

135239760 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 135239760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

135239760 is an abundant number, since it is smaller than the sum of its proper divisors (379013040).

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

135239760 is a wasteful number, since it uses less digits than its factorization.

135239760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 135239760 is about 11629.2630892933. The cubic root of 135239760 is about 513.2962961228.

The spelling of 135239760 in words is "one hundred thirty-five million, two hundred thirty-nine thousand, seven hundred sixty".