131761000 has 96 divisors (see below), whose sum is σ = 358792200. Its totient is φ = 45158400.

The previous prime is 131760961. The next prime is 131761001. The reversal of 131761000 is 167131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9746884 + 122014116 = 3122^2 + 11046^2 .

It is a super-2 number, since 2×131761000² = 34721922242000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131761001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47656 + ... + 50344.

Almost surely, 2^131761000 is an apocalyptic number.

131761000 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 131761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179396100).

131761000 is an abundant number, since it is smaller than the sum of its proper divisors (227031200).

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

131761000 is a wasteful number, since it uses less digits than its factorization.

131761000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 131761000 is about 11478.7194407739. The cubic root of 131761000 is about 508.8568526354.

The spelling of 131761000 in words is "one hundred thirty-one million, seven hundred sixty-one thousand".