149768 has 16 divisors (see below), whose sum is σ = 285180. Its totient is φ = 73728.

The previous prime is 149767. The next prime is 149771. The reversal of 149768 is 867941.

It is a Cunningham number, because it is equal to 387²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 145924 + 3844 = 382^2 + 62^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (149767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 680 + ... + 872.

2¹⁴⁹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

149768 is a deficient number, since it is larger than the sum of its proper divisors (135412).

149768 is a wasteful number, since it uses less digits than its factorization.

149768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 149768 is about 386.9987080082. The cubic root of 149768 is about 53.1055213479.

The spelling of 149768 in words is "one hundred forty-nine thousand, seven hundred sixty-eight".