135375760 has 240 divisors, whose sum is σ = 392117760. Its totient is φ = 43130880.

The previous prime is 135375719. The next prime is 135375781. The reversal of 135375760 is 67573531.

It is a happy 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, 4366945 + ... + 4366975.

It is an arithmetic number, because the mean of its divisors is an integer number (1633824).

Almost surely, 2^135375760 is an apocalyptic number.

135375760 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 135375760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196058880).

135375760 is an abundant number, since it is smaller than the sum of its proper divisors (256742000).

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

135375760 is a wasteful number, since it uses less digits than its factorization.

135375760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 37.

The square root of 135375760 is about 11635.1089380375. The cubic root of 135375760 is about 513.4682990631.

The spelling of 135375760 in words is "one hundred thirty-five million, three hundred seventy-five thousand, seven hundred sixty".