Search a number
-
+
137605232 = 2429296563
BaseRepresentation
bin10000011001110…
…11000001110000
3100120221001220002
420030323001300
5240211331412
621353205132
73260424302
oct1014730160
9316831802
10137605232
1170746936
123a1007a8
132267c31b
14143bd972
15c131dc2
hex833b070

137605232 has 20 divisors (see below), whose sum is σ = 275804520. Its totient is φ = 66429888.

The previous prime is 137605231. The next prime is 137605271. The reversal of 137605232 is 232506731.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 137605195 and 137605204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137605231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147818 + ... + 148745.

It is an arithmetic number, because the mean of its divisors is an integer number (13790226).

Almost surely, 2137605232 is an apocalyptic number.

It is an amenable number.

137605232 is an abundant number, since it is smaller than the sum of its proper divisors (138199288).

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

137605232 is a wasteful number, since it uses less digits than its factorization.

137605232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296600 (or 296594 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 137605232 is about 11730.5256489213. The cubic root of 137605232 is about 516.2716955473.

The spelling of 137605232 in words is "one hundred thirty-seven million, six hundred five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 296563 593126 1186252 2372504 4745008 8600327 17200654 34401308 68802616 137605232