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137038285320 = 23353533235087
BaseRepresentation
bin111111110100000011…
…1100100101000001000
3111002201102201011222220
41333220013210220020
54221123300112240
6142542102014040
712620636130426
oct1775007445010
9432642634886
10137038285320
11531325a3062
1222685a17320
13cbcc0c39c1
1468c0150116
153870be15d0
hex1fe81e4a08

137038285320 has 64 divisors (see below), whose sum is σ = 412279614720. Its totient is φ = 36440008704.

The previous prime is 137038285303. The next prime is 137038285331. The reversal of 137038285320 is 23582830731.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1575184 + ... + 1659903.

It is an arithmetic number, because the mean of its divisors is an integer number (6441868980).

Almost surely, 2137038285320 is an apocalyptic number.

137038285320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137038285320 is an abundant number, since it is smaller than the sum of its proper divisors (275241329400).

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

137038285320 is a wasteful number, since it uses less digits than its factorization.

137038285320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235454 (or 3235450 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 137038285320 in words is "one hundred thirty-seven billion, thirty-eight million, two hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353 706 1059 1412 1765 2118 2824 3530 4236 5295 7060 8472 10590 14120 21180 42360 3235087 6470174 9705261 12940348 16175435 19410522 25880696 32350870 38821044 48526305 64701740 77642088 97052610 129403480 194105220 388210440 1141985711 2283971422 3425957133 4567942844 5709928555 6851914266 9135885688 11419857110 13703828532 17129785665 22839714220 27407657064 34259571330 45679428440 68519142660 137038285320