135142560 has 384 divisors, whose sum is σ = 558835200. Its totient is φ = 29859840.

The previous prime is 135142529. The next prime is 135142561. The reversal of 135142560 is 65241531.

135142560 is a `hidden beast` number, since 13 + 51 + 42 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135142561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239786 + ... + 1239894.

It is an arithmetic number, because the mean of its divisors is an integer number (1455300).

Almost surely, 2^135142560 is an apocalyptic number.

135142560 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 135142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

135142560 is an abundant number, since it is smaller than the sum of its proper divisors (423692640).

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

135142560 is a wasteful number, since it uses less digits than its factorization.

135142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135142560 is about 11625.0832255085. The cubic root of 135142560 is about 513.1732939384.

The spelling of 135142560 in words is "one hundred thirty-five million, one hundred forty-two thousand, five hundred sixty".