149953 has 2 divisors, whose sum is σ = 149954. Its totient is φ = 149952.

The previous prime is 149939. The next prime is 149969. The reversal of 149953 is 359941.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97969 + 51984 = 313^2 + 228^2 .

It is a cyclic number.

It is not a de Polignac number, because 149953 - 2⁵ = 149921 is a prime.

149953 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (149993) 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 as a sum of consecutive naturals, namely, 74976 + 74977.

It is an arithmetic number, because the mean of its divisors is an integer number (74977).

2¹⁴⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

149953 is a deficient number, since it is larger than the sum of its proper divisors (1).

149953 is an equidigital number, since it uses as much as digits as its factorization.

149953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4860, while the sum is 31.

The square root of 149953 is about 387.2376531279. The cubic root of 149953 is about 53.1273784402.

The spelling of 149953 in words is "one hundred forty-nine thousand, nine hundred fifty-three".