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150138 = 23219439
BaseRepresentation
bin100100101001111010
321121221200
4210221322
514301023
63115030
71163502
oct445172
9247850
10150138
11a288a
1272a76
1353451
143ca02
152e743
hex24a7a

150138 has 24 divisors (see below), whose sum is σ = 343200. Its totient is φ = 47304.

The previous prime is 150131. The next prime is 150151. The reversal of 150138 is 831051.

Adding to 150138 its reverse (831051), we get a palindrome (981189).

It is a happy number.

150138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 150138.

It is not an unprimeable number, because it can be changed into a prime (150131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (14300).

2150138 is an apocalyptic number.

150138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171600).

150138 is an abundant number, since it is smaller than the sum of its proper divisors (193062).

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

150138 is a wasteful number, since it uses less digits than its factorization.

150138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 150138 is about 387.4764508973. The cubic root of 150138 is about 53.1492175629.

The spelling of 150138 in words is "one hundred fifty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 439 878 1317 2634 3951 7902 8341 16682 25023 50046 75069 150138