7131136320 has 784 divisors, whose sum is σ = 31822144128. Its totient is φ = 1478062080.

The previous prime is 7131136301. The next prime is 7131136343. The reversal of 7131136320 is 236311317.

7131136320 is a `hidden beast` number, since 7 + 13 + 1 + 13 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17962362 + ... + 17962758.

Almost surely, 2^7131136320 is an apocalyptic number.

7131136320 is a gapful number since it is divisible by the number (70) 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 7131136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911072064).

7131136320 is an abundant number, since it is smaller than the sum of its proper divisors (24691007808).

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

7131136320 is a wasteful number, since it uses less digits than its factorization.

7131136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 7131136320 is about 84446.0556805349. The cubic root of 7131136320 is about 1924.8028196301.

Adding to 7131136320 its reverse (236311317), we get a palindrome (7367447637).

The spelling of 7131136320 in words is "seven billion, one hundred thirty-one million, one hundred thirty-six thousand, three hundred twenty".