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137166491 = 71119295361
BaseRepresentation
bin10000010110011…
…11111010011011
3100120002210001102
420023033322123
5240103311431
621335542015
73253616210
oct1013177233
9316083042
10137166491
1170477240
1239b2a90b
1322557707
1414307b07
15c096dcb
hex82cfe9b

137166491 has 64 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 94348800.

The previous prime is 137166481. The next prime is 137166499. The reversal of 137166491 is 194661731.

It is a happy number.

It is not a de Polignac number, because 137166491 - 26 = 137166427 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137166499) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2248601 + ... + 2248661.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2137166491 is an apocalyptic number.

137166491 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137166491 is a deficient number, since it is larger than the sum of its proper divisors (55678309).

137166491 is a wasteful number, since it uses less digits than its factorization.

137166491 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its digits is 27216, while the sum is 38.

The square root of 137166491 is about 11711.8098942905. The cubic root of 137166491 is about 515.7224172032.

The spelling of 137166491 in words is "one hundred thirty-seven million, one hundred sixty-six thousand, four hundred ninety-one".

Divisors: 1 7 11 19 29 53 61 77 133 203 209 319 371 427 551 583 671 1007 1159 1463 1537 1769 2233 3233 3857 4081 4697 6061 7049 8113 10759 11077 12383 12749 16907 19459 22631 29203 33611 35563 42427 61427 77539 89243 93757 118349 136213 204421 235277 248941 321233 369721 429989 656299 675697 1031327 1781383 2248631 2588047 4729879 7219289 12469681 19595213 137166491