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137692701 = 3289397433
BaseRepresentation
bin10000011010100…
…00011000011101
3100121002111212200
420031100120131
5240222131301
621355122113
73261240306
oct1015203035
9317074780
10137692701
11707a6623
123a143339
13226b0093
14144037ad
15c14cc86
hex835061d

137692701 has 24 divisors (see below), whose sum is σ = 202096440. Its totient is φ = 90326016.

The previous prime is 137692693. The next prime is 137692703. The reversal of 137692701 is 107296731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1153476 + 136539225 = 1074^2 + 11685^2 .

It is not a de Polignac number, because 137692701 - 23 = 137692693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137692703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317781 + ... + 318213.

It is an arithmetic number, because the mean of its divisors is an integer number (8420685).

Almost surely, 2137692701 is an apocalyptic number.

It is an amenable number.

137692701 is a deficient number, since it is larger than the sum of its proper divisors (64403739).

137692701 is a wasteful number, since it uses less digits than its factorization.

137692701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 137692701 is about 11734.2533209404. The cubic root of 137692701 is about 516.3810620384.

The spelling of 137692701 in words is "one hundred thirty-seven million, six hundred ninety-two thousand, seven hundred one".

Divisors: 1 3 9 89 267 397 433 801 1191 1299 3573 3897 35333 38537 105999 115611 171901 317997 346833 515703 1547109 15299189 45897567 137692701