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137166200 = 23521740343
BaseRepresentation
bin10000010110011…
…11110101111000
3100120002202122122
420023033311320
5240103304300
621335540412
73253615313
oct1013176570
9316082578
10137166200
1170476aa6
1239b2a708
1322557542
141430797a
15c096c85
hex82cfd78

137166200 has 48 divisors (see below), whose sum is σ = 337679280. Its totient is φ = 51637760.

The previous prime is 137166193. The next prime is 137166203. The reversal of 137166200 is 2661731.

It is a self number, because there is not a number n which added to its sum of digits gives 137166200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137166203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16772 + ... + 23571.

It is an arithmetic number, because the mean of its divisors is an integer number (7034985).

Almost surely, 2137166200 is an apocalyptic number.

137166200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137166200 is an abundant number, since it is smaller than the sum of its proper divisors (200513080).

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

137166200 is a wasteful number, since it uses less digits than its factorization.

137166200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40376 (or 40367 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 137166200 is about 11711.7974709265. The cubic root of 137166200 is about 515.7220524996.

The spelling of 137166200 in words is "one hundred thirty-seven million, one hundred sixty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 40343 80686 161372 201715 322744 403430 685831 806860 1008575 1371662 1613720 2017150 2743324 3429155 4034300 5486648 6858310 8068600 13716620 17145775 27433240 34291550 68583100 137166200