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138237 = 3115971
BaseRepresentation
bin100001101111111101
321000121220
4201233331
513410422
62543553
71114011
oct415775
9230556
10138237
1194950
1267bb9
134abc8
1438541
152ae5c
hex21bfd

138237 has 16 divisors (see below), whose sum is σ = 207360. Its totient is φ = 81200.

The previous prime is 138209. The next prime is 138239. The reversal of 138237 is 732831.

It is a cyclic number.

It is not a de Polignac number, because 138237 - 211 = 136189 is a prime.

Its product of digits (1008) is a multiple of the sum of its prime divisors (144).

138237 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1912 + ... + 1982.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2138237 is an apocalyptic number.

It is an amenable number.

138237 is a deficient number, since it is larger than the sum of its proper divisors (69123).

138237 is a wasteful number, since it uses less digits than its factorization.

138237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its digits is 1008, while the sum is 24.

The square root of 138237 is about 371.8023668564. The cubic root of 138237 is about 51.7060585243.

The spelling of 138237 in words is "one hundred thirty-eight thousand, two hundred thirty-seven".

Divisors: 1 3 11 33 59 71 177 213 649 781 1947 2343 4189 12567 46079 138237