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137179980 = 22345712097
BaseRepresentation
bin10000010110100…
…11001101001100
3100120010110120000
420023103031030
5240104224410
621340124300
73254003430
oct1013231514
9316113500
10137179980
1170486393
1239b36690
13225608b2
141430c9c0
15c09adc0
hex82d334c

137179980 has 120 divisors (see below), whose sum is σ = 491856288. Its totient is φ = 31352832.

The previous prime is 137179951. The next prime is 137179997. The reversal of 137179980 is 89971731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5292 + ... + 17388.

Almost surely, 2137179980 is an apocalyptic number.

137179980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137179980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245928144).

137179980 is an abundant number, since it is smaller than the sum of its proper divisors (354676308).

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

137179980 is a wasteful number, since it uses less digits than its factorization.

137179980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12125 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The square root of 137179980 is about 11712.3857518441. The cubic root of 137179980 is about 515.7393220892.

The spelling of 137179980 in words is "one hundred thirty-seven million, one hundred seventy-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 12097 24194 36291 48388 60485 72582 84679 108873 120970 145164 169358 181455 217746 241940 254037 326619 338716 362910 423395 435492 508074 544365 653238 725820 762111 846790 979857 1016148 1088730 1270185 1306476 1524222 1633095 1693580 1959714 2177460 2286333 2540370 3048444 3266190 3810555 3919428 4572666 4899285 5080740 6532380 6858999 7621110 9145332 9798570 11431665 13717998 15242220 19597140 22863330 27435996 34294995 45726660 68589990 137179980