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137424012 = 223111041091
BaseRepresentation
bin10000011000011…
…10110010001100
3100120120212022020
420030032302030
5240140032022
621345250140
73256041045
oct1014166214
9316525266
10137424012
1170632770
123a033950
13226179ab
14143738cc
15c0e835c
hex830ec8c

137424012 has 24 divisors (see below), whose sum is σ = 349806912. Its totient is φ = 41643600.

The previous prime is 137423999. The next prime is 137424019. The reversal of 137424012 is 210424731.

It is a happy number.

It is a super-2 number, since 2×1374240122 = 37770718148352288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137424019) 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 7 ways as a sum of consecutive naturals, for example, 520414 + ... + 520677.

It is an arithmetic number, because the mean of its divisors is an integer number (14575288).

Almost surely, 2137424012 is an apocalyptic number.

137424012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137424012 is an abundant number, since it is smaller than the sum of its proper divisors (212382900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137424012 is a wasteful number, since it uses less digits than its factorization.

137424012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041109 (or 1041107 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 137424012 is about 11722.7988125703. The cubic root of 137424012 is about 516.0449603273.

Adding to 137424012 its reverse (210424731), we get a palindrome (347848743).

The spelling of 137424012 in words is "one hundred thirty-seven million, four hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1041091 2082182 3123273 4164364 6246546 11452001 12493092 22904002 34356003 45808004 68712006 137424012