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137333277 = 3240138053
BaseRepresentation
bin10000010111110…
…00101000011101
3100120102020211200
420023320220131
5240124131102
621343310113
73255212364
oct1013705035
9316366750
10137333277
1170580584
1239bab339
13225b55c3
141434c7db
15c0cb51c
hex82f8a1d

137333277 has 12 divisors (see below), whose sum is σ = 198870204. Its totient is φ = 91324800.

The previous prime is 137333269. The next prime is 137333291. The reversal of 137333277 is 772333731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 107619876 + 29713401 = 10374^2 + 5451^2 .

It is not a de Polignac number, because 137333277 - 23 = 137333269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137333227) 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 11 ways as a sum of consecutive naturals, for example, 15418 + ... + 22635.

It is an arithmetic number, because the mean of its divisors is an integer number (16572517).

Almost surely, 2137333277 is an apocalyptic number.

It is an amenable number.

137333277 is a deficient number, since it is larger than the sum of its proper divisors (61536927).

137333277 is a wasteful number, since it uses less digits than its factorization.

137333277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38460 (or 38457 counting only the distinct ones).

The product of its digits is 55566, while the sum is 36.

The square root of 137333277 is about 11718.9281506459. The cubic root of 137333277 is about 515.9313614307.

The spelling of 137333277 in words is "one hundred thirty-seven million, three hundred thirty-three thousand, two hundred seventy-seven".

Divisors: 1 3 9 401 1203 3609 38053 114159 342477 15259253 45777759 137333277