131629760 has 56 divisors (see below), whose sum is σ = 314492640. Its totient is φ = 52475904.

The previous prime is 131629747. The next prime is 131629789. The reversal of 131629760 is 67926131.

It is a self number, because there is not a number n which added to its sum of digits gives 131629760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140012 + ... + 140948.

It is an arithmetic number, because the mean of its divisors is an integer number (5615940).

Almost surely, 2^131629760 is an apocalyptic number.

131629760 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 131629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157246320).

131629760 is an abundant number, since it is smaller than the sum of its proper divisors (182862880).

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

131629760 is an equidigital number, since it uses as much as digits as its factorization.

131629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 131629760 is about 11473.0013509979. The cubic root of 131629760 is about 508.6878482553.

It can be divided in two parts, 13162 and 9760, that added together give a palindrome (22922).

The spelling of 131629760 in words is "one hundred thirty-one million, six hundred twenty-nine thousand, seven hundred sixty".