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137103945 = 35111316343
BaseRepresentation
bin10000010110000…
…00101001001001
3100112222121020220
420023000221021
5240044311240
621334340253
73253235646
oct1013005111
9315877226
10137103945
1170434250
1239aba689
13225350c4
14142ccdcd
15c0835d0
hex82c0a49

137103945 has 32 divisors (see below), whose sum is σ = 241173504. Its totient is φ = 65956800.

The previous prime is 137103937. The next prime is 137103949. The reversal of 137103945 is 549301731.

It is not a de Polignac number, because 137103945 - 23 = 137103937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (137103949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18444 + ... + 24786.

It is an arithmetic number, because the mean of its divisors is an integer number (7536672).

Almost surely, 2137103945 is an apocalyptic number.

137103945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137103945 is a deficient number, since it is larger than the sum of its proper divisors (104069559).

137103945 is a wasteful number, since it uses less digits than its factorization.

137103945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 137103945 is about 11709.1393791346. The cubic root of 137103945 is about 515.6440178844.

The spelling of 137103945 in words is "one hundred thirty-seven million, one hundred three thousand, nine hundred forty-five".

Divisors: 1 3 5 11 15 33 55 131 165 393 655 1441 1965 4323 6343 7205 19029 21615 31715 69773 95145 209319 348865 830933 1046595 2492799 4154665 9140263 12463995 27420789 45701315 137103945