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137010177 = 335074451
BaseRepresentation
bin10000010101010…
…01110000000001
3100112210211122000
420022221300001
5240033311202
621332334213
73252365403
oct1012516001
9315724560
10137010177
117037a857
1239a74369
1322501515
14142a6b73
15c06591c
hex82a9c01

137010177 has 8 divisors (see below), whose sum is σ = 202978080. Its totient is φ = 91340100.

The previous prime is 137010131. The next prime is 137010179. The reversal of 137010177 is 771010731.

It is not a de Polignac number, because 137010177 - 211 = 137008129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5074451 = 137010177 / (1 + 3 + 7 + 0 + 1 + 0 + 1 + 7 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 137010177.

It is not an unprimeable number, because it can be changed into a prime (137010179) 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, 2537199 + ... + 2537252.

It is an arithmetic number, because the mean of its divisors is an integer number (25372260).

Almost surely, 2137010177 is an apocalyptic number.

It is an amenable number.

137010177 is a deficient number, since it is larger than the sum of its proper divisors (65967903).

137010177 is an equidigital number, since it uses as much as digits as its factorization.

137010177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074460 (or 5074454 counting only the distinct ones).

The product of its (nonzero) digits is 1029, while the sum is 27.

The square root of 137010177 is about 11705.1346425404. The cubic root of 137010177 is about 515.5264381528.

The spelling of 137010177 in words is "one hundred thirty-seven million, ten thousand, one hundred seventy-seven".

Divisors: 1 3 9 27 5074451 15223353 45670059 137010177