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137423601 = 3371395231
BaseRepresentation
bin10000011000011…
…10101011110001
3100120120211202000
420030032223301
5240140023401
621345244213
73256036620
oct1014165361
9316524660
10137423601
1170632427
123a033669
1322617753
14143736b7
15c0e8186
hex830eaf1

137423601 has 32 divisors (see below), whose sum is σ = 234393600. Its totient is φ = 77947920.

The previous prime is 137423593. The next prime is 137423609. The reversal of 137423601 is 106324731.

137423601 is a `hidden beast` number, since 1 + 37 + 4 + 23 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (137423593) and next prime (137423609).

It is not a de Polignac number, because 137423601 - 23 = 137423593 is a prime.

It is a super-2 number, since 2×1374236012 = 37770492223614402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137423609) 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 31 ways as a sum of consecutive naturals, for example, 23656 + ... + 28886.

It is an arithmetic number, because the mean of its divisors is an integer number (7324800).

Almost surely, 2137423601 is an apocalyptic number.

It is an amenable number.

137423601 is a deficient number, since it is larger than the sum of its proper divisors (96969999).

137423601 is a wasteful number, since it uses less digits than its factorization.

137423601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137423601 is about 11722.7812826138. The cubic root of 137423601 is about 516.0444458741.

The spelling of 137423601 in words is "one hundred thirty-seven million, four hundred twenty-three thousand, six hundred one".

Divisors: 1 3 7 9 21 27 63 139 189 417 973 1251 2919 3753 5231 8757 15693 26271 36617 47079 109851 141237 329553 727109 988659 2181327 5089763 6543981 15269289 19631943 45807867 137423601