8131146240 has 960 divisors, whose sum is σ = 33855833088. Its totient is φ = 1651507200.

The previous prime is 8131146229. The next prime is 8131146329. The reversal of 8131146240 is 426411318.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×8131146240³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8131146198 and 8131146207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198320620 + ... + 198320660.

Almost surely, 2^8131146240 is an apocalyptic number.

8131146240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8131146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927916544).

8131146240 is an abundant number, since it is smaller than the sum of its proper divisors (25724686848).

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

8131146240 is a wasteful number, since it uses less digits than its factorization.

8131146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8131146240 is about 90172.8686468386. The cubic root of 8131146240 is about 2010.8696714340.

Adding to 8131146240 its reverse (426411318), we get a palindrome (8557557558).

The spelling of 8131146240 in words is "eight billion, one hundred thirty-one million, one hundred forty-six thousand, two hundred forty".