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137112421 = 897731993
BaseRepresentation
bin10000010110000…
…10101101100101
3100120000000212211
420023002231211
5240100044141
621334443421
73253302445
oct1013025545
9316000784
10137112421
117043a656
1239b03571
1322538c14
14142d2125
15c085d81
hex82c2b65

137112421 has 8 divisors (see below), whose sum is σ = 138902040. Its totient is φ = 135328512.

The previous prime is 137112419. The next prime is 137112427. The reversal of 137112421 is 124211731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 923521 + 136188900 = 961^2 + 11670^2 .

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 137112421 - 21 = 137112419 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137112392 and 137112401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137112427) 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, 67801 + ... + 69793.

It is an arithmetic number, because the mean of its divisors is an integer number (17362755).

Almost surely, 2137112421 is an apocalyptic number.

It is an amenable number.

137112421 is a deficient number, since it is larger than the sum of its proper divisors (1789619).

137112421 is an equidigital number, since it uses as much as digits as its factorization.

137112421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855.

The product of its digits is 336, while the sum is 22.

The square root of 137112421 is about 11709.5013130363. The cubic root of 137112421 is about 515.6546436633.

The spelling of 137112421 in words is "one hundred thirty-seven million, one hundred twelve thousand, four hundred twenty-one".

Divisors: 1 89 773 1993 68797 177377 1540589 137112421