131693760 has 168 divisors, whose sum is σ = 494269776. Its totient is φ = 31918080.

The previous prime is 131693759. The next prime is 131693761. The reversal of 131693760 is 67396131.

It is an interprime number because it is at equal distance from previous prime (131693759) and next prime (131693761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131693761) 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, 29602 + ... + 33758.

It is an arithmetic number, because the mean of its divisors is an integer number (2942082).

Almost surely, 2^131693760 is an apocalyptic number.

131693760 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 131693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247134888).

131693760 is an abundant number, since it is smaller than the sum of its proper divisors (362576016).

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

131693760 is a wasteful number, since it uses less digits than its factorization.

131693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 131693760 is about 11475.7901688729. The cubic root of 131693760 is about 508.7702783160.

The spelling of 131693760 in words is "one hundred thirty-one million, six hundred ninety-three thousand, seven hundred sixty".