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137842250 = 2537137383
BaseRepresentation
bin10000011011101…
…00111001001010
3100121101010000112
420031310321022
5240241423000
621402234322
73262432310
oct1015647112
9317333015
10137842250
1170898a17
123a1b59a2
1322733180
14144420b0
15c17c235
hex8374e4a

137842250 has 128 divisors (see below), whose sum is σ = 325817856. Its totient is φ = 42508800.

The previous prime is 137842247. The next prime is 137842267. The reversal of 137842250 is 52248731.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1660709 + ... + 1660791.

It is an arithmetic number, because the mean of its divisors is an integer number (2545452).

Almost surely, 2137842250 is an apocalyptic number.

137842250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137842250 is an abundant number, since it is smaller than the sum of its proper divisors (187975606).

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

137842250 is a wasteful number, since it uses less digits than its factorization.

137842250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 137842250 is about 11740.6239186851. The cubic root of 137842250 is about 516.5679427512.

The spelling of 137842250 in words is "one hundred thirty-seven million, eight hundred forty-two thousand, two hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 50 65 70 73 83 91 125 130 146 166 175 182 250 325 350 365 415 455 511 581 650 730 830 875 910 949 1022 1079 1162 1625 1750 1825 1898 2075 2158 2275 2555 2905 3250 3650 4150 4550 4745 5110 5395 5810 6059 6643 7553 9125 9490 10375 10790 11375 12118 12775 13286 14525 15106 18250 20750 22750 23725 25550 26975 29050 30295 33215 37765 42413 47450 53950 60590 63875 66430 72625 75530 78767 84826 118625 127750 134875 145250 151475 157534 166075 188825 212065 237250 269750 302950 332150 377650 393835 424130 551369 757375 787670 830375 944125 1060325 1102738 1514750 1660750 1888250 1969175 2120650 2756845 3938350 5301625 5513690 9845875 10603250 13784225 19691750 27568450 68921125 137842250