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137225377 = 179298689
BaseRepresentation
bin10000010110111…
…10010010100001
3100120012202211101
420023132102201
5240112203002
621341114401
73254252662
oct1013362241
9316182741
10137225377
1170507503
1239b58a01
1322578463
1414321369
15c0a9587
hex82de4a1

137225377 has 8 divisors (see below), whose sum is σ = 145470600. Its totient is φ = 128999424.

The previous prime is 137225369. The next prime is 137225443. The reversal of 137225377 is 773522731.

It can be written as a sum of positive squares in 4 ways, for example, as 25796241 + 111429136 = 5079^2 + 10556^2 .

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 137225377 - 23 = 137225369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137225677) 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, 11449 + ... + 20137.

It is an arithmetic number, because the mean of its divisors is an integer number (18183825).

Almost surely, 2137225377 is an apocalyptic number.

137225377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137225377 is a deficient number, since it is larger than the sum of its proper divisors (8245223).

137225377 is an equidigital number, since it uses as much as digits as its factorization.

137225377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9635.

The product of its digits is 61740, while the sum is 37.

The square root of 137225377 is about 11714.3235826914. The cubic root of 137225377 is about 515.7962070559.

The spelling of 137225377 in words is "one hundred thirty-seven million, two hundred twenty-five thousand, three hundred seventy-seven".

Divisors: 1 17 929 8689 15793 147713 8072081 137225377