135142205503040 has 56 divisors (see below), whose sum is σ = 321931485030840. Its totient is φ = 54036034633728.

The previous prime is 135142205503031. The next prime is 135142205503061. The reversal of 135142205503040 is 40305502241531.

It can be written as a sum of positive squares in 4 ways, for example, as 10542853144576 + 124599352358464 = 3246976^2 + 11162408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80604755 + ... + 82264274.

Almost surely, 2^{135142205503040} is an apocalyptic number.

135142205503040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135142205503040 is an abundant number, since it is smaller than the sum of its proper divisors (186789279527800).

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

135142205503040 is a wasteful number, since it uses less digits than its factorization.

135142205503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162871639 (or 162871629 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 135142205503040 its reverse (40305502241531), we get a palindrome (175447707744571).

The spelling of 135142205503040 in words is "one hundred thirty-five trillion, one hundred forty-two billion, two hundred five million, five hundred three thousand, forty".