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137044650 = 235217223241
BaseRepresentation
bin10000010101100…
…10001010101010
3100112212120220210
420022302022222
5240040412100
621333201550
73252601041
oct1012621252
9315776823
10137044650
11703a3746
1239a902b6
1322514112
14142b5558
15c070c50
hex82b22aa

137044650 has 96 divisors (see below), whose sum is σ = 362976768. Its totient is φ = 34099200.

The previous prime is 137044619. The next prime is 137044679. The reversal of 137044650 is 56440731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568530 + ... + 568770.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2137044650 is an apocalyptic number.

137044650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137044650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181488384).

137044650 is an abundant number, since it is smaller than the sum of its proper divisors (225932118).

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

137044650 is a wasteful number, since it uses less digits than its factorization.

137044650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 137044650 is about 11706.6071088083. The cubic root of 137044650 is about 515.5696715656.

The spelling of 137044650 in words is "one hundred thirty-seven million, forty-four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 223 241 255 425 446 482 510 669 723 850 1115 1205 1275 1338 1446 2230 2410 2550 3345 3615 3791 4097 5575 6025 6690 7230 7582 8194 11150 11373 12050 12291 16725 18075 18955 20485 22746 24582 33450 36150 37910 40970 53743 56865 61455 94775 102425 107486 113730 122910 161229 189550 204850 268715 284325 307275 322458 537430 568650 614550 806145 913631 1343575 1612290 1827262 2687150 2740893 4030725 4568155 5481786 8061450 9136310 13704465 22840775 27408930 45681550 68522325 137044650