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137048805 = 32519792029
BaseRepresentation
bin10000010101100…
…11001011100101
3100112212210121200
420022303023211
5240041030210
621333233113
73252616125
oct1012631345
9315783550
10137048805
11703a6883
1239a92799
1322515c8a
14142b6c85
15c0720c0
hex82b32e5

137048805 has 48 divisors (see below), whose sum is σ = 253344000. Its totient is φ = 68335488.

The previous prime is 137048749. The next prime is 137048827. The reversal of 137048805 is 508840731.

It is not a de Polignac number, because 137048805 - 27 = 137048677 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137048805.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 66531 + ... + 68559.

It is an arithmetic number, because the mean of its divisors is an integer number (5278000).

Almost surely, 2137048805 is an apocalyptic number.

137048805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137048805 is a deficient number, since it is larger than the sum of its proper divisors (116295195).

137048805 is a wasteful number, since it uses less digits than its factorization.

137048805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 137048805 is about 11706.7845713501. The cubic root of 137048805 is about 515.5748819607.

The spelling of 137048805 in words is "one hundred thirty-seven million, forty-eight thousand, eight hundred five".

Divisors: 1 3 5 9 15 19 45 57 79 95 171 237 285 395 711 855 1185 1501 2029 3555 4503 6087 7505 10145 13509 18261 22515 30435 38551 67545 91305 115653 160291 192755 346959 480873 578265 801455 1442619 1734795 2404365 3045529 7213095 9136587 15227645 27409761 45682935 137048805