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137577271 = 13192931901
BaseRepresentation
bin10000011001101…
…00001100110111
3100120212122112111
420030310030313
5240204433041
621352431451
73260246626
oct1014641467
9316778474
10137577271
1170727927
123a0a8587
132266c690
14143b36bd
15c128981
hex8334337

137577271 has 16 divisors (see below), whose sum is σ = 156572640. Its totient is φ = 119836800.

The previous prime is 137577269. The next prime is 137577281. The reversal of 137577271 is 172775731.

It is a happy number.

It is not a de Polignac number, because 137577271 - 21 = 137577269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137577281) 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 15 ways as a sum of consecutive naturals, for example, 71421 + ... + 73321.

It is an arithmetic number, because the mean of its divisors is an integer number (9785790).

Almost surely, 2137577271 is an apocalyptic number.

137577271 is a deficient number, since it is larger than the sum of its proper divisors (18995369).

137577271 is a wasteful number, since it uses less digits than its factorization.

137577271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226.

The product of its digits is 72030, while the sum is 40.

The square root of 137577271 is about 11729.3337832973. Note that the first 3 decimals coincide. The cubic root of 137577271 is about 516.2367248549.

The spelling of 137577271 in words is "one hundred thirty-seven million, five hundred seventy-seven thousand, two hundred seventy-one".

Divisors: 1 13 19 247 293 1901 3809 5567 24713 36119 72371 469547 556993 7240909 10582867 137577271