8131737978 has 96 divisors (see below), whose sum is σ = 21720980736. Its totient is φ = 2141040384.

The previous prime is 8131737917. The next prime is 8131737989. The reversal of 8131737978 is 8797371318.

It is a happy number.

It is a super-2 number, since 2×8131737978² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055950 + ... + 1063622.

It is an arithmetic number, because the mean of its divisors is an integer number (226260216).

Almost surely, 2^8131737978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8131737978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10860490368).

8131737978 is an abundant number, since it is smaller than the sum of its proper divisors (13589242758).

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

8131737978 is a wasteful number, since it uses less digits than its factorization.

8131737978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8348 (or 8345 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 8131737978 is about 90176.1497182043. The cubic root of 8131737978 is about 2010.9184500891.

The spelling of 8131737978 in words is "eight billion, one hundred thirty-one million, seven hundred thirty-seven thousand, nine hundred seventy-eight".