131769330 has 192 divisors, whose sum is σ = 416638080. Its totient is φ = 26342400.

The previous prime is 131769317. The next prime is 131769349. The reversal of 131769330 is 33967131.

It is a super-3 number, since 3×131769330³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131769291 and 131769300.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 468790 + ... + 469070.

It is an arithmetic number, because the mean of its divisors is an integer number (2169990).

Almost surely, 2^131769330 is an apocalyptic number.

131769330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131769330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208319040).

131769330 is an abundant number, since it is smaller than the sum of its proper divisors (284868750).

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

131769330 is a wasteful number, since it uses less digits than its factorization.

131769330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 131769330 is about 11479.0822803916. The cubic root of 131769330 is about 508.8675758091.

The spelling of 131769330 in words is "one hundred thirty-one million, seven hundred sixty-nine thousand, three hundred thirty".