2415134315142 has 48 divisors (see below), whose sum is σ = 5371233875280. Its totient is φ = 784007208000.

The previous prime is 2415134315119. The next prime is 2415134315159.

2415134315142 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 134 + 3 + 1 + 514 + 2 = 666.

2415134315142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2415134315097 and 2415134315106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10778092 + ... + 10999887.

It is an arithmetic number, because the mean of its divisors is an integer number (111900705735).

Almost surely, 2^{2415134315142} is an apocalyptic number.

2415134315142 is an abundant number, since it is smaller than the sum of its proper divisors (2956099560138).

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

2415134315142 is a wasteful number, since it uses less digits than its factorization.

2415134315142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21778149 (or 21778146 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 2415134315142 in words is "two trillion, four hundred fifteen billion, one hundred thirty-four million, three hundred fifteen thousand, one hundred forty-two".