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137714130 = 23251530157
BaseRepresentation
bin10000011010101…
…01100111010010
3100121010121021100
420031111213102
5240223323010
621355405230
73261356631
oct1015254722
9317117240
10137714130
1170810734
123a153816
13226b9a68
141440b518
15c1542c0
hex83559d2

137714130 has 24 divisors (see below), whose sum is σ = 358056972. Its totient is φ = 36723744.

The previous prime is 137714123. The next prime is 137714131. The reversal of 137714130 is 31417731.

It can be written as a sum of positive squares in 2 ways, for example, as 127848249 + 9865881 = 11307^2 + 3141^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137714094 and 137714103.

It is not an unprimeable number, because it can be changed into a prime (137714131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 764989 + ... + 765168.

Almost surely, 2137714130 is an apocalyptic number.

137714130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137714130 is an abundant number, since it is smaller than the sum of its proper divisors (220342842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137714130 is a wasteful number, since it uses less digits than its factorization.

137714130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530170 (or 1530167 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 137714130 is about 11735.1663814366. The cubic root of 137714130 is about 516.4078486332.

The spelling of 137714130 in words is "one hundred thirty-seven million, seven hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1530157 3060314 4590471 7650785 9180942 13771413 15301570 22952355 27542826 45904710 68857065 137714130