135170142240 has 768 divisors, whose sum is σ = 514639319040. Its totient is φ = 29185228800.

The previous prime is 135170142179. The next prime is 135170142271. The reversal of 135170142240 is 42241071531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135170142198 and 135170142207.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 860956242 + ... + 860956398.

It is an arithmetic number, because the mean of its divisors is an integer number (670103280).

Almost surely, 2^135170142240 is an apocalyptic number.

135170142240 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 135170142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257319659520).

135170142240 is an abundant number, since it is smaller than the sum of its proper divisors (379469176800).

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

135170142240 is a wasteful number, since it uses less digits than its factorization.

135170142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 135170142240 in words is "one hundred thirty-five billion, one hundred seventy million, one hundred forty-two thousand, two hundred forty".