2145205134135 has 48 divisors (see below), whose sum is σ = 4436342604000. Its totient is φ = 980665201152.

The previous prime is 2145205134131. The next prime is 2145205134169. The reversal of 2145205134135 is 5314315025412.

2145205134135 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 2 + 0 + 513 + 4 + 135 = 666.

It is not a de Polignac number, because 2145205134135 - 2² = 2145205134131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2145205134135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145205134131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162140410 + ... + 162153639.

It is an arithmetic number, because the mean of its divisors is an integer number (92423804250).

Almost surely, 2^{2145205134135} is an apocalyptic number.

2145205134135 is an abundant number, since it is smaller than the sum of its proper divisors (2291137469865).

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

2145205134135 is a wasteful number, since it uses less digits than its factorization.

2145205134135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324294077 (or 324294064 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2145205134135 in words is "two trillion, one hundred forty-five billion, two hundred five million, one hundred thirty-four thousand, one hundred thirty-five".