131754 has 16 divisors (see below), whose sum is σ = 301248. Its totient is φ = 37632.

The previous prime is 131749. The next prime is 131759. The reversal of 131754 is 457131.

It is an interprime number because it is at equal distance from previous prime (131749) and next prime (131759).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131754.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131754.

It is not an unprimeable number, because it can be changed into a prime (131759) by changing a digit.

131754 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1527 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (18828).

2¹³¹⁷⁵⁴ is an apocalyptic number.

131754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131754 is an abundant number, since it is smaller than the sum of its proper divisors (169494).

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

131754 is a wasteful number, since it uses less digits than its factorization.

131754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149.

The product of its digits is 420, while the sum is 21.

The square root of 131754 is about 362.9793382549. The cubic root of 131754 is about 50.8847841216.

Adding to 131754 its reverse (457131), we get a palindrome (588885).

The spelling of 131754 in words is "one hundred thirty-one thousand, seven hundred fifty-four".