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137182201 = 132811729
BaseRepresentation
bin10000010110100…
…11101111111001
3100120010120121021
420023103233321
5240104312301
621340142441
73254013052
oct1013235771
9316116537
10137182201
1170488022
1239b37a21
1322561900
141430d729
15c09b8a1
hex82d3bf9

137182201 has 6 divisors (see below), whose sum is σ = 148546590. Its totient is φ = 126629568.

The previous prime is 137182183. The next prime is 137182211. The reversal of 137182201 is 102281731.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1692601 + 135489600 = 1301^2 + 11640^2 .

It is a de Polignac number, because none of the positive numbers 2k-137182201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137182211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 405696 + ... + 406033.

It is an arithmetic number, because the mean of its divisors is an integer number (24757765).

Almost surely, 2137182201 is an apocalyptic number.

It is an amenable number.

137182201 is a deficient number, since it is larger than the sum of its proper divisors (11364389).

137182201 is an equidigital number, since it uses as much as digits as its factorization.

137182201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811755 (or 811742 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 137182201 is about 11712.4805656189. The cubic root of 137182201 is about 515.7421054177.

The spelling of 137182201 in words is "one hundred thirty-seven million, one hundred eighty-two thousand, two hundred one".

Divisors: 1 13 169 811729 10552477 137182201