148993 has 8 divisors (see below), whose sum is σ = 163688. Its totient is φ = 134784.

The previous prime is 148991. The next prime is 148997. The reversal of 148993 is 399841.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 146689 = 48^2 + 383^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 148993 - 2¹ = 148991 is a prime.

It is a Duffinian number.

Its product of digits (7776) is a multiple of the sum of its prime divisors (243).

It is not an unprimeable number, because it can be changed into a prime (148991) 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 7 ways as a sum of consecutive naturals, for example, 871 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (20461).

It is a Proth number, since it is equal to 291 ⋅ 2⁹ + 1 and 291 < 2⁹.

2¹⁴⁸⁹⁹³ is an apocalyptic number.

148993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

148993 is a deficient number, since it is larger than the sum of its proper divisors (14695).

148993 is a wasteful number, since it uses less digits than its factorization.

148993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its digits is 7776, while the sum is 34.

The square root of 148993 is about 385.9961139701. The cubic root of 148993 is about 53.0137617047.

The spelling of 148993 in words is "one hundred forty-eight thousand, nine hundred ninety-three".