150093 has 20 divisors (see below), whose sum is σ = 239580. Its totient is φ = 93312.

The previous prime is 150091. The next prime is 150097. The reversal of 150093 is 390051.

It can be written as a sum of positive squares in 2 ways, for example, as 110889 + 39204 = 333^2 + 198^2 .

It is not a de Polignac number, because 150093 - 2¹ = 150091 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 150093.

It is not an unprimeable number, because it can be changed into a prime (150091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1323 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (11979).

2¹⁵⁰⁰⁹³ is an apocalyptic number.

It is an amenable number.

150093 is a deficient number, since it is larger than the sum of its proper divisors (89487).

150093 is a wasteful number, since it uses less digits than its factorization.

150093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 150093 is about 387.4183785006. The cubic root of 150093 is about 53.1439069958.

The spelling of 150093 in words is "one hundred fifty thousand, ninety-three".