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158938137 = 32672291151
BaseRepresentation
bin10010111100100…
…11010000011001
3102002001220010200
421132103100121
5311142010022
623434332413
73636644331
oct1136232031
9362056120
10158938137
1181797636
124528a109
1326c0b347
14171740c1
15de47bac
hex9793419

158938137 has 24 divisors (see below), whose sum is σ = 234224640. Its totient is φ = 103831200.

The previous prime is 158938133. The next prime is 158938141. The reversal of 158938137 is 731839851.

158938137 is a `hidden beast` number, since 1 + 589 + 38 + 1 + 37 = 666.

It is an interprime number because it is at equal distance from previous prime (158938133) and next prime (158938141).

It is not a de Polignac number, because 158938137 - 22 = 158938133 is a prime.

It is a super-2 number, since 2×1589381372 = 50522662786061538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 158938092 and 158938101.

It is not an unprimeable number, because it can be changed into a prime (158938133) 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 23 ways as a sum of consecutive naturals, for example, 137512 + ... + 138662.

It is an arithmetic number, because the mean of its divisors is an integer number (9759360).

Almost surely, 2158938137 is an apocalyptic number.

It is an amenable number.

158938137 is a deficient number, since it is larger than the sum of its proper divisors (75286503).

158938137 is a wasteful number, since it uses less digits than its factorization.

158938137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1450 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 158938137 is about 12607.0669467565. The cubic root of 158938137 is about 541.6798818183.

The spelling of 158938137 in words is "one hundred fifty-eight million, nine hundred thirty-eight thousand, one hundred thirty-seven".

Divisors: 1 3 9 67 201 229 603 687 1151 2061 3453 10359 15343 46029 77117 138087 231351 263579 694053 790737 2372211 17659793 52979379 158938137