152968 has 8 divisors (see below), whose sum is σ = 286830. Its totient is φ = 76480.

The previous prime is 152959. The next prime is 152981. The reversal of 152968 is 869251.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 49284 = 322^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

152968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 9553 + ... + 9568.

2¹⁵²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

152968 is a deficient number, since it is larger than the sum of its proper divisors (133862).

152968 is a wasteful number, since it uses less digits than its factorization.

152968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19127 (or 19123 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 152968 is about 391.1112373737. Note that the first 3 decimals coincide. The cubic root of 152968 is about 53.4810833637.

The spelling of 152968 in words is "one hundred fifty-two thousand, nine hundred sixty-eight".