6131972742 has 16 divisors (see below), whose sum is σ = 14015937792. Its totient is φ = 1751992200.

The previous prime is 6131972689. The next prime is 6131972767. The reversal of 6131972742 is 2472791316.

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: 145999351 = 6131972742 / (6 + 1 + 3 + 1 + 9 + 7 + 2 + 7 + 4 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 6131972694 and 6131972703.

It is a congruent number.

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, 72999634 + ... + 72999717.

It is an arithmetic number, because the mean of its divisors is an integer number (875996112).

Almost surely, 2^6131972742 is an apocalyptic number.

6131972742 is an abundant number, since it is smaller than the sum of its proper divisors (7883965050).

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

6131972742 is a wasteful number, since it uses less digits than its factorization.

6131972742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145999363.

The product of its digits is 127008, while the sum is 42.

The square root of 6131972742 is about 78306.9137560663. The cubic root of 6131972742 is about 1830.3468881662.

The spelling of 6131972742 in words is "six billion, one hundred thirty-one million, nine hundred seventy-two thousand, seven hundred forty-two".