131737920 has 112 divisors (see below), whose sum is σ = 428597568. Its totient is φ = 34263040.

The previous prime is 131737901. The next prime is 131737937. The reversal of 131737920 is 29737131.

It is a happy number.

131737920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37687 + ... + 41033.

It is an arithmetic number, because the mean of its divisors is an integer number (3826764).

Almost surely, 2^131737920 is an apocalyptic number.

131737920 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 131737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214298784).

131737920 is an abundant number, since it is smaller than the sum of its proper divisors (296859648).

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

131737920 is a wasteful number, since it uses less digits than its factorization.

131737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 131737920 is about 11477.7140581215. The cubic root of 131737920 is about 508.8271394882.

The spelling of 131737920 in words is "one hundred thirty-one million, seven hundred thirty-seven thousand, nine hundred twenty".