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133706937 = 37213313761
BaseRepresentation
bin1111111100000…
…11010010111001
3100022121000102210
413332003102321
5233212110222
621133445333
73212330100
oct776032271
9308530383
10133706937
1169524001
1238940849
1321915b40
1413a87037
15bb11d0c
hex7f834b9

133706937 has 96 divisors (see below), whose sum is σ = 240651264. Its totient is φ = 65318400.

The previous prime is 133706927. The next prime is 133706953. The reversal of 133706937 is 739607331.

It is not a de Polignac number, because 133706937 - 27 = 133706809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 133706895 and 133706904.

It is not an unprimeable number, because it can be changed into a prime (133706927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2191887 + ... + 2191947.

It is an arithmetic number, because the mean of its divisors is an integer number (2506784).

Almost surely, 2133706937 is an apocalyptic number.

It is an amenable number.

133706937 is a deficient number, since it is larger than the sum of its proper divisors (106944327).

133706937 is a wasteful number, since it uses less digits than its factorization.

133706937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 39.

The square root of 133706937 is about 11563.1715804964. The cubic root of 133706937 is about 511.3496699726.

The spelling of 133706937 in words is "one hundred thirty-three million, seven hundred six thousand, nine hundred thirty-seven".

Divisors: 1 3 7 13 21 31 37 39 49 61 91 93 111 147 183 217 259 273 403 427 481 637 651 777 793 1147 1209 1281 1443 1519 1813 1891 1911 2257 2379 2821 2989 3367 3441 4557 5439 5551 5673 6771 8029 8463 8967 10101 13237 14911 15799 16653 19747 23569 24087 24583 29341 38857 39711 44733 47397 56203 59241 69967 70707 73749 88023 92659 104377 110593 116571 168609 172081 205387 209901 277977 313131 331779 489769 516243 616161 730639 909571 1204567 1437709 1469307 2191917 2728713 3428383 3613701 4313127 6366997 10285149 19100991 44568979 133706937