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127439137 = 7192293747
BaseRepresentation
bin1111001100010…
…01000100100001
322212210120122001
413212021010201
5230111023022
620351244001
73105133450
oct746110441
9285716561
10127439137
1165a32a01
1236819601
132052cc97
1412cd4b97
15b2c4b27
hex7989121

127439137 has 48 divisors (see below), whose sum is σ = 166786560. Its totient is φ = 95147136.

The previous prime is 127439131. The next prime is 127439141. The reversal of 127439137 is 731934721.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-127439137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 127439096 and 127439105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127439131) 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 47 ways as a sum of consecutive naturals, for example, 2711448 + ... + 2711494.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2127439137 is an apocalyptic number.

It is an amenable number.

127439137 is a deficient number, since it is larger than the sum of its proper divisors (39347423).

127439137 is a wasteful number, since it uses less digits than its factorization.

127439137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its digits is 31752, while the sum is 37.

The square root of 127439137 is about 11288.8944099943. The cubic root of 127439137 is about 503.2312556570.

The spelling of 127439137 in words is "one hundred twenty-seven million, four hundred thirty-nine thousand, one hundred thirty-seven".

Divisors: 1 7 19 29 37 47 133 203 259 329 361 551 703 893 1073 1363 1739 2527 3857 4921 6251 7511 9541 10469 12173 13357 16967 20387 25897 33041 50431 73283 93499 118769 142709 181279 231287 353017 387353 492043 627779 958189 2711471 3444301 4394453 6707323 18205591 127439137