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137075445 = 32513234317
BaseRepresentation
bin10000010101110…
…01101011110101
3100112221011011100
420022321223311
5240042403240
621334000313
73253056603
oct1012715365
9315834140
10137075445
11704148a1
1239aa6099
1322525140
14142c2873
15c079e30
hex82b9af5

137075445 has 24 divisors (see below), whose sum is σ = 255875256. Its totient is φ = 67483008.

The previous prime is 137075401. The next prime is 137075447. The reversal of 137075445 is 544570731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8071281 + 129004164 = 2841^2 + 11358^2 .

It is not a de Polignac number, because 137075445 - 28 = 137075189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137075447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116574 + ... + 117743.

It is an arithmetic number, because the mean of its divisors is an integer number (10661469).

Almost surely, 2137075445 is an apocalyptic number.

137075445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137075445 is a deficient number, since it is larger than the sum of its proper divisors (118799811).

137075445 is a wasteful number, since it uses less digits than its factorization.

137075445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234341 (or 234338 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 137075445 is about 11707.9223178154. The cubic root of 137075445 is about 515.6082861800.

The spelling of 137075445 in words is "one hundred thirty-seven million, seventy-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 234317 702951 1171585 2108853 3046121 3514755 9138363 10544265 15230605 27415089 45691815 137075445