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137001217 = 735413469
BaseRepresentation
bin10000010101001…
…11100100000001
3100112210101100011
420022213210001
5240033014332
621332224521
73252330313
oct1012474401
9315711304
10137001217
1170374051
1239a6b141
13224ca412
14142a37b3
15c062e47
hex82a7901

137001217 has 8 divisors (see below), whose sum is σ = 139174760. Its totient is φ = 134835840.

The previous prime is 137001203. The next prime is 137001257. The reversal of 137001217 is 712100731.

It can be written as a sum of positive squares in 4 ways, for example, as 602176 + 136399041 = 776^2 + 11679^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137001217 - 215 = 136968449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137001257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37759 + ... + 41227.

It is an arithmetic number, because the mean of its divisors is an integer number (17396845).

Almost surely, 2137001217 is an apocalyptic number.

It is an amenable number.

137001217 is a deficient number, since it is larger than the sum of its proper divisors (2173543).

137001217 is an equidigital number, since it uses as much as digits as its factorization.

137001217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 137001217 is about 11704.7518982676. The cubic root of 137001217 is about 515.5152000154.

Adding to 137001217 its reverse (712100731), we get a palindrome (849101948).

The spelling of 137001217 in words is "one hundred thirty-seven million, one thousand, two hundred seventeen".

Divisors: 1 73 541 3469 39493 253237 1876729 137001217