131000760 has 128 divisors (see below), whose sum is σ = 476409600. Its totient is φ = 31754880.

The previous prime is 131000719. The next prime is 131000767. The reversal of 131000760 is 67000131.

It is a super-2 number, since 2×131000760² = 34322398241155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6367 + ... + 17393.

It is an arithmetic number, because the mean of its divisors is an integer number (3721950).

Almost surely, 2^131000760 is an apocalyptic number.

131000760 is a gapful number since it is divisible by the number (10) 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 131000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238204800).

131000760 is an abundant number, since it is smaller than the sum of its proper divisors (345408840).

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

131000760 is a wasteful number, since it uses less digits than its factorization.

131000760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 11048 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131000760 is about 11445.5563429656. The cubic root of 131000760 is about 507.8762899621.

Adding to 131000760 its reverse (67000131), we get a palindrome (198000891).

The spelling of 131000760 in words is "one hundred thirty-one million, seven hundred sixty", and thus it is an aban number.