131769000 has 240 divisors, whose sum is σ = 489914100. Its totient is φ = 31944000.

The previous prime is 131768993. The next prime is 131769031. The reversal of 131769000 is 967131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 89075844 + 42693156 = 9438^2 + 6534^2 .

It is a super-2 number, since 2×131769000² = 34726138722000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11978995 + ... + 11979005.

Almost surely, 2^131769000 is an apocalyptic number.

131769000 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 131769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244957050).

131769000 is an abundant number, since it is smaller than the sum of its proper divisors (358145100).

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

131769000 is an equidigital number, since it uses as much as digits as its factorization.

131769000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131769000 is about 11479.0679064112. The cubic root of 131769000 is about 508.8671510101.

The spelling of 131769000 in words is "one hundred thirty-one million, seven hundred sixty-nine thousand".