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137459850 = 235211227367
BaseRepresentation
bin10000011000101…
…11100010001010
3100120122200110120
420030113202022
5240142203400
621350124110
73256250403
oct1014274212
9316580416
10137459850
1170657690
123a050636
132262b0b8
14143829aa
15c103ca0
hex831788a

137459850 has 96 divisors (see below), whose sum is σ = 374547456. Its totient is φ = 33086400.

The previous prime is 137459837. The next prime is 137459857. The reversal of 137459850 is 58954731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137459857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374367 + ... + 374733.

It is an arithmetic number, because the mean of its divisors is an integer number (3901536).

Almost surely, 2137459850 is an apocalyptic number.

137459850 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 137459850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187273728).

137459850 is an abundant number, since it is smaller than the sum of its proper divisors (237087606).

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

137459850 is a wasteful number, since it uses less digits than its factorization.

137459850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 137459850 is about 11724.3272728119. The cubic root of 137459850 is about 516.0898152053.

It can be divided in two parts, 1374 and 59850, that multiplied together give a triangular number (82233900 = T12824).

The spelling of 137459850 in words is "one hundred thirty-seven million, four hundred fifty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 227 275 330 367 454 550 681 734 825 1101 1135 1362 1650 1835 2202 2270 2497 3405 3670 4037 4994 5505 5675 6810 7491 8074 9175 11010 11350 12111 12485 14982 17025 18350 20185 24222 24970 27525 34050 37455 40370 55050 60555 62425 74910 83309 100925 121110 124850 166618 187275 201850 249927 302775 374550 416545 499854 605550 833090 916399 1249635 1832798 2082725 2499270 2749197 4165450 4581995 5498394 6248175 9163990 12496350 13745985 22909975 27491970 45819950 68729925 137459850