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137034937 = 134325701
BaseRepresentation
bin10000010101011…
…11110010111001
3100112212002121001
420022233302321
5240040104222
621333045001
73252530524
oct1012576271
9315762531
10137034937
1170397416
1239a86761
132250c880
14142b1bbb
15c06ce27
hex82afcb9

137034937 has 12 divisors (see below), whose sum is σ = 151114404. Its totient is φ = 123530400.

The previous prime is 137034923. The next prime is 137034941. The reversal of 137034937 is 739430731.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 68873401 = 8256^2 + 8299^2 .

It is not a de Polignac number, because 137034937 - 27 = 137034809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137034896 and 137034905.

It is not an unprimeable number, because it can be changed into a prime (137034917) 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, 21187 + ... + 26887.

It is an arithmetic number, because the mean of its divisors is an integer number (12592867).

Almost surely, 2137034937 is an apocalyptic number.

It is an amenable number.

137034937 is a deficient number, since it is larger than the sum of its proper divisors (14079467).

137034937 is an equidigital number, since it uses as much as digits as its factorization.

137034937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 137034937 is about 11706.1922502580. The cubic root of 137034937 is about 515.5574909939.

The spelling of 137034937 in words is "one hundred thirty-seven million, thirty-four thousand, nine hundred thirty-seven".

Divisors: 1 13 43 559 1849 5701 24037 74113 245143 3186859 10541149 137034937