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137428167 = 3229200041
BaseRepresentation
bin10000011000011…
…11110011000111
3100120121002000010
420030033303013
5240140200132
621345321303
73256056132
oct1014176307
9316532003
10137428167
11706358a8
123a036233
1322619856
1414375219
15c0e96cc
hex830fcc7

137428167 has 8 divisors (see below), whose sum is σ = 184038640. Its totient is φ = 91218240.

The previous prime is 137428139. The next prime is 137428171. The reversal of 137428167 is 761824731.

137428167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137428167 - 211 = 137426119 is a prime.

It is a Duffinian number.

137428167 is a modest number, since divided by 28167 gives 1374 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137428367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99334 + ... + 100707.

It is an arithmetic number, because the mean of its divisors is an integer number (23004830).

Almost surely, 2137428167 is an apocalyptic number.

137428167 is a deficient number, since it is larger than the sum of its proper divisors (46610473).

137428167 is a wasteful number, since it uses less digits than its factorization.

137428167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200273.

The product of its digits is 56448, while the sum is 39.

The square root of 137428167 is about 11722.9760300019. The cubic root of 137428167 is about 516.0501611293.

The spelling of 137428167 in words is "one hundred thirty-seven million, four hundred twenty-eight thousand, one hundred sixty-seven".

Divisors: 1 3 229 687 200041 600123 45809389 137428167