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137100495 = 3571789863
BaseRepresentation
bin10000010101111…
…11110011001111
3100112222102112010
420022333303033
5240044203440
621334312303
73253222620
oct1012776317
9315872463
10137100495
11704316a4
1239ab8693
132253366c
14142cba47
15c082580
hex82bfccf

137100495 has 64 divisors (see below), whose sum is σ = 268738560. Its totient is φ = 58257408.

The previous prime is 137100473. The next prime is 137100499. The reversal of 137100495 is 594001731.

It is not a de Polignac number, because 137100495 - 210 = 137099471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137100499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158434 + ... + 159296.

It is an arithmetic number, because the mean of its divisors is an integer number (4199040).

Almost surely, 2137100495 is an apocalyptic number.

137100495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137100495 is a deficient number, since it is larger than the sum of its proper divisors (131638065).

137100495 is a wasteful number, since it uses less digits than its factorization.

137100495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 137100495 is about 11708.9920573891. The cubic root of 137100495 is about 515.6396927310.

The spelling of 137100495 in words is "one hundred thirty-seven million, one hundred thousand, four hundred ninety-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 89 105 119 255 267 357 445 595 623 863 1335 1513 1785 1869 2589 3115 4315 4539 6041 7565 9345 10591 12945 14671 18123 22695 30205 31773 44013 52955 73355 76807 90615 102697 158865 220065 230421 308091 384035 513485 537649 1152105 1305719 1540455 1612947 2688245 3917157 6528595 8064735 9140033 19585785 27420099 45700165 137100495