131742166542 has 16 divisors (see below), whose sum is σ = 301124952192. Its totient is φ = 37640619000.

The previous prime is 131742166537. The next prime is 131742166547. The reversal of 131742166542 is 245661247131.

It is an interprime number because it is at equal distance from previous prime (131742166537) and next prime (131742166547).

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 3136718251 = 131742166542 / (1 + 3 + 1 + 7 + 4 + 2 + 1 + 6 + 6 + 5 + 4 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 131742166494 and 131742166503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131742166547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1568359084 + ... + 1568359167.

It is an arithmetic number, because the mean of its divisors is an integer number (18820309512).

Almost surely, 2^131742166542 is an apocalyptic number.

131742166542 is an abundant number, since it is smaller than the sum of its proper divisors (169382785650).

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

131742166542 is a wasteful number, since it uses less digits than its factorization.

131742166542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136718263.

The product of its digits is 241920, while the sum is 42.

The spelling of 131742166542 in words is "one hundred thirty-one billion, seven hundred forty-two million, one hundred sixty-six thousand, five hundred forty-two".