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137342575 = 5217893631
BaseRepresentation
bin10000010111110…
…10111001101111
3100120102201121001
420023322321233
5240124430300
621343421131
73255251446
oct1013727157
9316381531
10137342575
1170587567
1239bb47a7
13225b98c6
1414351d5d
15c0ce16a
hex82fae6f

137342575 has 24 divisors (see below), whose sum is σ = 182399040. Its totient is φ = 102220800.

The previous prime is 137342539. The next prime is 137342633. The reversal of 137342575 is 575243731.

It is not a de Polignac number, because 137342575 - 213 = 137334383 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36010 + ... + 39640.

It is an arithmetic number, because the mean of its divisors is an integer number (7599960).

Almost surely, 2137342575 is an apocalyptic number.

137342575 is a deficient number, since it is larger than the sum of its proper divisors (45056465).

137342575 is a wasteful number, since it uses less digits than its factorization.

137342575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3742 counting only the distinct ones).

The product of its digits is 88200, while the sum is 37.

The square root of 137342575 is about 11719.3248525672. The cubic root of 137342575 is about 515.9430046917.

The spelling of 137342575 in words is "one hundred thirty-seven million, three hundred forty-two thousand, five hundred seventy-five".

Divisors: 1 5 17 25 85 89 425 445 1513 2225 3631 7565 18155 37825 61727 90775 308635 323159 1543175 1615795 5493703 8078975 27468515 137342575