135140535360 has 168 divisors, whose sum is σ = 464999685696. Its totient is φ = 36024099840.

The previous prime is 135140535323. The next prime is 135140535377. The reversal of 135140535360 is 63535041531.

135140535360 is a `hidden beast` number, since 1 + 3 + 51 + 40 + 535 + 36 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9586237 + ... + 9600323.

It is an arithmetic number, because the mean of its divisors is an integer number (2767855272).

Almost surely, 2^135140535360 is an apocalyptic number.

135140535360 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 135140535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232499842848).

135140535360 is an abundant number, since it is smaller than the sum of its proper divisors (329859150336).

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

135140535360 is a wasteful number, since it uses less digits than its factorization.

135140535360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17441 (or 17428 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 135140535360 its reverse (63535041531), we get a palindrome (198675576891).

The spelling of 135140535360 in words is "one hundred thirty-five billion, one hundred forty million, five hundred thirty-five thousand, three hundred sixty".