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137425563 = 32114133857
BaseRepresentation
bin10000011000011…
…11001010011011
3100120120221102200
420030033022123
5240140104223
621345301243
73256045422
oct1014171233
9316527380
10137425563
1170633950
123a034823
1322618602
14143742b9
15c0e8a43
hex830f29b

137425563 has 24 divisors (see below), whose sum is σ = 221837616. Its totient is φ = 81254400.

The previous prime is 137425543. The next prime is 137425583. The reversal of 137425563 is 365524731.

137425563 is a `hidden beast` number, since 1 + 3 + 74 + 25 + 563 = 666.

It is an interprime number because it is at equal distance from previous prime (137425543) and next prime (137425583).

It is not a de Polignac number, because 137425563 - 28 = 137425307 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137425513) 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, 12870 + ... + 20987.

It is an arithmetic number, because the mean of its divisors is an integer number (9243234).

Almost surely, 2137425563 is an apocalyptic number.

137425563 is a deficient number, since it is larger than the sum of its proper divisors (84412053).

137425563 is a wasteful number, since it uses less digits than its factorization.

137425563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33915 (or 33912 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 137425563 is about 11722.8649655278. The cubic root of 137425563 is about 516.0469017220.

The spelling of 137425563 in words is "one hundred thirty-seven million, four hundred twenty-five thousand, five hundred sixty-three".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 33857 101571 304713 372427 1117281 1388137 3351843 4164411 12493233 15269507 45808521 137425563