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137691666 = 232721071459
BaseRepresentation
bin10000011010100…
…00001000010010
3100121002110110100
420031100020102
5240222113131
621355113230
73261234300
oct1015201022
9317073410
10137691666
11707a5872
123a142816
13226ac778
1414403270
15c14c7e6
hex8350212

137691666 has 72 divisors (see below), whose sum is σ = 350522640. Its totient is φ = 38946096.

The previous prime is 137691661. The next prime is 137691679. The reversal of 137691666 is 666196731.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (137691661) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93645 + ... + 95103.

It is an arithmetic number, because the mean of its divisors is an integer number (4868370).

Almost surely, 2137691666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137691666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175261320).

137691666 is an abundant number, since it is smaller than the sum of its proper divisors (212830974).

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

137691666 is a wasteful number, since it uses less digits than its factorization.

137691666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1578 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 137691666 is about 11734.2092192018. The cubic root of 137691666 is about 516.3797682013.

The spelling of 137691666 in words is "one hundred thirty-seven million, six hundred ninety-one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 107 126 147 214 294 321 441 642 749 882 963 1459 1498 1926 2247 2918 4377 4494 5243 6741 8754 10213 10486 13131 13482 15729 20426 26262 30639 31458 47187 61278 71491 91917 94374 142982 156113 183834 214473 312226 428946 468339 643419 936678 1092791 1286838 1405017 2185582 2810034 3278373 6556746 7649537 9835119 15299074 19670238 22948611 45897222 68845833 137691666