135655520 has 288 divisors, whose sum is σ = 441606816. Its totient is φ = 39029760.

The previous prime is 135655519. The next prime is 135655537. The reversal of 135655520 is 25556531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10435034 + ... + 10435046.

It is an arithmetic number, because the mean of its divisors is an integer number (1533357).

Almost surely, 2^135655520 is an apocalyptic number.

135655520 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 135655520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220803408).

135655520 is an abundant number, since it is smaller than the sum of its proper divisors (305951296).

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

135655520 is a wasteful number, since it uses less digits than its factorization.

135655520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 135655520 is about 11647.1249671324. The cubic root of 135655520 is about 513.8217573514.

The spelling of 135655520 in words is "one hundred thirty-five million, six hundred fifty-five thousand, five hundred twenty".