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137274201 = 32171814957
BaseRepresentation
bin10000010111010…
…10001101011001
3100120022020210200
420023222031121
5240120233301
621342132413
73254545221
oct1013521531
9316266720
10137274201
1170540159
1239b81109
132259474c
1414335081
15c0b8c86
hex82ea359

137274201 has 24 divisors (see below), whose sum is σ = 211151304. Its totient is φ = 85639680.

The previous prime is 137274149. The next prime is 137274227. The reversal of 137274201 is 102472731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20115225 + 117158976 = 4485^2 + 10824^2 .

It is not a de Polignac number, because 137274201 - 27 = 137274073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137274001) 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, 25215 + ... + 30171.

It is an arithmetic number, because the mean of its divisors is an integer number (8797971).

Almost surely, 2137274201 is an apocalyptic number.

It is an amenable number.

137274201 is a deficient number, since it is larger than the sum of its proper divisors (73877103).

137274201 is a wasteful number, since it uses less digits than its factorization.

137274201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137274201 is about 11716.4073418433. The cubic root of 137274201 is about 515.8573722438.

The spelling of 137274201 in words is "one hundred thirty-seven million, two hundred seventy-four thousand, two hundred one".

Divisors: 1 3 9 17 51 153 181 543 1629 3077 4957 9231 14871 27693 44613 84269 252807 758421 897217 2691651 8074953 15252689 45758067 137274201