145761 has 16 divisors (see below), whose sum is σ = 242688. Its totient is φ = 75600.

The previous prime is 145759. The next prime is 145771. The reversal of 145761 is 167541.

It is not a de Polignac number, because 145761 - 2¹ = 145759 is a prime.

145761 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (15168).

2¹⁴⁵⁷⁶¹ is an apocalyptic number.

145761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145761 is a deficient number, since it is larger than the sum of its proper divisors (96927).

145761 is a wasteful number, since it uses less digits than its factorization.

145761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652.

The product of its digits is 840, while the sum is 24.

The square root of 145761 is about 381.7865896021. The cubic root of 145761 is about 52.6276260014.

It can be divided in two parts, 14 and 5761, that added together give a palindrome (5775).

The spelling of 145761 in words is "one hundred forty-five thousand, seven hundred sixty-one".