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137424133 = 71116710687
BaseRepresentation
bin10000011000011…
…10110100000101
3100120120212110201
420030032310011
5240140033013
621345250501
73256041310
oct1014166405
9316525421
10137424133
1170632870
123a033a31
1322617a72
1414373977
15c0e83dd
hex830ed05

137424133 has 16 divisors (see below), whose sum is σ = 172376064. Its totient is φ = 106432560.

The previous prime is 137424097. The next prime is 137424139. The reversal of 137424133 is 331424731.

It is a cyclic number.

It is not a de Polignac number, because 137424133 - 221 = 135326981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137424139) 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 15 ways as a sum of consecutive naturals, for example, 7516 + ... + 18202.

It is an arithmetic number, because the mean of its divisors is an integer number (10773504).

Almost surely, 2137424133 is an apocalyptic number.

It is an amenable number.

137424133 is a deficient number, since it is larger than the sum of its proper divisors (34951931).

137424133 is a wasteful number, since it uses less digits than its factorization.

137424133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872.

The product of its digits is 6048, while the sum is 28.

The square root of 137424133 is about 11722.8039734528. The cubic root of 137424133 is about 516.0451117842.

Adding to 137424133 its reverse (331424731), we get a palindrome (468848864).

The spelling of 137424133 in words is "one hundred thirty-seven million, four hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 7 11 77 167 1169 1837 10687 12859 74809 117557 822899 1784729 12493103 19632019 137424133