145953 has 6 divisors (see below), whose sum is σ = 210834. Its totient is φ = 97296.

The previous prime is 145949. The next prime is 145963. The reversal of 145953 is 359541.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 7569 = 372^2 + 87^2 .

It is not a de Polignac number, because 145953 - 2² = 145949 is a prime.

145953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (145903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8100 + ... + 8117.

It is an arithmetic number, because the mean of its divisors is an integer number (35139).

2¹⁴⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

145953 is a deficient number, since it is larger than the sum of its proper divisors (64881).

145953 is a wasteful number, since it uses less digits than its factorization.

145953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16223 (or 16220 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 145953 is about 382.0379562295. The cubic root of 145953 is about 52.6507233338.

It can be divided in two parts, 1 and 45953, that added together give a palindrome (45954).

The spelling of 145953 in words is "one hundred forty-five thousand, nine hundred fifty-three".