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152220135200 = 25527171598951
BaseRepresentation
bin1000110111000100000…
…1101110111100100000
3112112220111001001211012
42031301001232330200
54443221323311300
6153532353440052
713666104541430
oct2156101567440
9475814031735
10152220135200
1159613330631
1225602270028
131147b510923
1475205902c0
153e5d977435
hex237106ef20

152220135200 has 144 divisors (see below), whose sum is σ = 449676468864. Its totient is φ = 49119744000.

The previous prime is 152220135173. The next prime is 152220135203. The reversal of 152220135200 is 2531022251.

It is not an unprimeable number, because it can be changed into a prime (152220135203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704276 + ... + 894675.

It is an arithmetic number, because the mean of its divisors is an integer number (3122753256).

Almost surely, 2152220135200 is an apocalyptic number.

152220135200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152220135200 is an abundant number, since it is smaller than the sum of its proper divisors (297456333664).

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

152220135200 is a wasteful number, since it uses less digits than its factorization.

152220135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598995 (or 1598982 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 152220135200 its reverse (2531022251), we get a palindrome (154751157451).

The spelling of 152220135200 in words is "one hundred fifty-two billion, two hundred twenty million, one hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 68 70 80 85 100 112 119 136 140 160 170 175 200 224 238 272 280 340 350 400 425 476 544 560 595 680 700 800 850 952 1120 1190 1360 1400 1700 1904 2380 2720 2800 2975 3400 3808 4760 5600 5950 6800 9520 11900 13600 19040 23800 47600 95200 1598951 3197902 6395804 7994755 11192657 12791608 15989510 22385314 25583216 27182167 31979020 39973775 44770628 51166432 54364334 55963285 63958040 79947550 89541256 108728668 111926570 127916080 135910835 159895100 179082512 190275169 217457336 223853140 255832160 271821670 279816425 319790200 358165024 380550338 434914672 447706280 543643340 559632850 639580400 679554175 761100676 869829344 895412560 951375845 1087286680 1119265700 1279160800 1359108350 1522201352 1790825120 1902751690 2174573360 2238531400 2718216700 3044402704 3805503380 4349146720 4477062800 4756879225 5436433400 6088805408 7611006760 8954125600 9513758450 10872866800 15222013520 19027516900 21745733600 30444027040 38055033800 76110067600 152220135200