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137120661 = 335986077
BaseRepresentation
bin10000010110001…
…00101110010101
3100120000110012000
420023010232111
5240100330121
621334545513
73253335456
oct1013045625
9316013160
10137120661
1170445867
1239b08299
132253c8b2
14142d512d
15c088526
hex82c4b95

137120661 has 16 divisors (see below), whose sum is σ = 206587200. Its totient is φ = 89863344.

The previous prime is 137120647. The next prime is 137120681. The reversal of 137120661 is 166021731.

It is not a de Polignac number, because 137120661 - 221 = 135023509 is a prime.

It is a super-3 number, since 3×1371206613 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137120611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41446 + ... + 44631.

It is an arithmetic number, because the mean of its divisors is an integer number (12911700).

Almost surely, 2137120661 is an apocalyptic number.

It is an amenable number.

137120661 is a deficient number, since it is larger than the sum of its proper divisors (69466539).

137120661 is an equidigital number, since it uses as much as digits as its factorization.

137120661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86145 (or 86139 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 137120661 is about 11709.8531587719. The cubic root of 137120661 is about 515.6649731655.

The spelling of 137120661 in words is "one hundred thirty-seven million, one hundred twenty thousand, six hundred sixty-one".

Divisors: 1 3 9 27 59 177 531 1593 86077 258231 774693 2324079 5078543 15235629 45706887 137120661