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137814498 = 23233123131
BaseRepresentation
bin10000011011011…
…10000111100010
3100121022200221200
420031232013202
5240240030443
621401502030
73262255353
oct1015560742
9317280850
10137814498
117087a088
123a1a1916
1322723653
1414435d2a
15c173dd3
hex836e1e2

137814498 has 24 divisors (see below), whose sum is σ = 299513136. Its totient is φ = 45797400.

The previous prime is 137814463. The next prime is 137814503. The reversal of 137814498 is 894418731.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5608 + ... + 17523.

It is an arithmetic number, because the mean of its divisors is an integer number (12479714).

Almost surely, 2137814498 is an apocalyptic number.

137814498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137814498 is an abundant number, since it is smaller than the sum of its proper divisors (161698638).

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

137814498 is a wasteful number, since it uses less digits than its factorization.

137814498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23470 (or 23467 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 137814498 is about 11739.4419799239. The cubic root of 137814498 is about 516.5332732752.

It can be divided in two parts, 1378 and 14498, that added together give a square (15876 = 1262).

The spelling of 137814498 in words is "one hundred thirty-seven million, eight hundred fourteen thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 18 331 662 993 1986 2979 5958 23131 46262 69393 138786 208179 416358 7656361 15312722 22969083 45938166 68907249 137814498