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137001636 = 22329739233
BaseRepresentation
bin10000010101001…
…11101010100100
3100112210101220200
420022213222210
5240033023021
621332230500
73252331452
oct1012475244
9315711820
10137001636
11703743a2
1239a6b430
13224ca675
14142a39d2
15c063126
hex82a7aa4

137001636 has 36 divisors (see below), whose sum is σ = 349888812. Its totient is φ = 45195264.

The previous prime is 137001587. The next prime is 137001637. The reversal of 137001636 is 636100731.

It can be written as a sum of positive squares in 2 ways, for example, as 26625600 + 110376036 = 5160^2 + 10506^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (137001637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16125 + ... + 23108.

Almost surely, 2137001636 is an apocalyptic number.

It is an amenable number.

137001636 is an abundant number, since it is smaller than the sum of its proper divisors (212887176).

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

137001636 is a wasteful number, since it uses less digits than its factorization.

137001636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39340 (or 39335 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 137001636 is about 11704.7697969674. The cubic root of 137001636 is about 515.5157255598.

The spelling of 137001636 in words is "one hundred thirty-seven million, one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 39233 78466 117699 156932 235398 353097 470796 706194 1412388 3805601 7611202 11416803 15222404 22833606 34250409 45667212 68500818 137001636