149968 has 40 divisors (see below), whose sum is σ = 361088. Its totient is φ = 58752.

The previous prime is 149953. The next prime is 149969. The reversal of 149968 is 869941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149969) 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 7 ways as a sum of consecutive naturals, for example, 1405 + ... + 1507.

2¹⁴⁹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180544).

149968 is an abundant number, since it is smaller than the sum of its proper divisors (211120).

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

149968 is a wasteful number, since it uses less digits than its factorization.

149968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 149968 is about 387.2570205948. The cubic root of 149968 is about 53.1291498488.

The spelling of 149968 in words is "one hundred forty-nine thousand, nine hundred sixty-eight".