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137244153750 = 2354117146861
BaseRepresentation
bin111111111010001100…
…0111001011110010110
3111010020210002101101120
41333310120321132112
54222034000410000
6143014334304410
712626016026064
oct1776430713626
9433223071346
10137244153750
1153228824060
1222722958106
13cc32954142
1468dd61d034
153883d096a0
hex1ff4639796

137244153750 has 160 divisors (see below), whose sum is σ = 379460733696. Its totient is φ = 32802000000.

The previous prime is 137244153749. The next prime is 137244153763. The reversal of 137244153750 is 57351442731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2905320 + ... + 2952180.

Almost surely, 2137244153750 is an apocalyptic number.

137244153750 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 137244153750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189730366848).

137244153750 is an abundant number, since it is smaller than the sum of its proper divisors (242216579946).

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

137244153750 is a wasteful number, since it uses less digits than its factorization.

137244153750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46968 (or 46953 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 137244153750 in words is "one hundred thirty-seven billion, two hundred forty-four million, one hundred fifty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 71 75 110 125 142 150 165 213 250 275 330 355 375 426 550 625 710 750 781 825 1065 1250 1375 1562 1650 1775 1875 2130 2343 2750 3550 3750 3905 4125 4686 5325 6875 7810 8250 8875 10650 11715 13750 17750 19525 20625 23430 26625 39050 41250 44375 46861 53250 58575 88750 93722 97625 117150 133125 140583 195250 234305 266250 281166 292875 468610 488125 515471 585750 702915 976250 1030942 1171525 1405830 1464375 1546413 2343050 2577355 2928750 3092826 3327131 3514575 5154710 5857625 6654262 7029150 7732065 9981393 11715250 12886775 15464130 16635655 17572875 19962786 25773550 29288125 33271310 35145750 36598441 38660325 49906965 58576250 64433875 73196882 77320650 83178275 87864375 99813930 109795323 128867750 166356550 175728750 182992205 193301625 219590646 249534825 322169375 365984410 386603250 415891375 499069650 548976615 644338750 831782750 914961025 966508125 1097953230 1247674125 1829922050 1933016250 2079456875 2495348250 2744883075 4158913750 4574805125 5489766150 6238370625 9149610250 12476741250 13724415375 22874025625 27448830750 45748051250 68622076875 137244153750