Search a number
-
+
149560137 = 3273233977
BaseRepresentation
bin10001110101000…
…01101101001001
3101102102102221100
420322201231021
5301241411022
622501332013
73464145246
oct1072415511
9342372840
10149560137
1177471821
1242107009
1324ca692c
1415c125cd
15d1e41ac
hex8ea1b49

149560137 has 24 divisors (see below), whose sum is σ = 220155624. Its totient is φ = 97818624.

The previous prime is 149560127. The next prime is 149560141. The reversal of 149560137 is 731065941.

149560137 is a `hidden beast` number, since 1 + 49 + 5 + 601 + 3 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 111070521 = 6204^2 + 10539^2 .

It is not a de Polignac number, because 149560137 - 214 = 149543753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149560127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152593 + ... + 153569.

It is an arithmetic number, because the mean of its divisors is an integer number (9173151).

Almost surely, 2149560137 is an apocalyptic number.

It is an amenable number.

149560137 is a deficient number, since it is larger than the sum of its proper divisors (70595487).

149560137 is a wasteful number, since it uses less digits than its factorization.

149560137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 149560137 is about 12229.4781981898. The cubic root of 149560137 is about 530.8094158950.

The spelling of 149560137 in words is "one hundred forty-nine million, five hundred sixty thousand, one hundred thirty-seven".

Divisors: 1 3 9 73 219 233 657 699 977 2097 2931 8793 17009 51027 71321 153081 213963 227641 641889 682923 2048769 16617793 49853379 149560137