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137320848 = 24327592309
BaseRepresentation
bin10000010111101…
…01100110010000
3100120101121210100
420023311212100
5240123231343
621343132400
73255131220
oct1013654620
9316347710
10137320848
1170572205
1239ba4100
13225aca52
1414348080
15c0c79d3
hex82f5990

137320848 has 120 divisors (see below), whose sum is σ = 446846400. Its totient is φ = 38552832.

The previous prime is 137320837. The next prime is 137320861. The reversal of 137320848 is 848023731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58318 + ... + 60626.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2137320848 is an apocalyptic number.

137320848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137320848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

137320848 is an abundant number, since it is smaller than the sum of its proper divisors (309525552).

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

137320848 is a wasteful number, since it uses less digits than its factorization.

137320848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 137320848 is about 11718.3978427087. The cubic root of 137320848 is about 515.9157966080.

The spelling of 137320848 in words is "one hundred thirty-seven million, three hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2309 2478 2832 3304 3717 4248 4618 4956 6608 6927 7434 8496 9236 9912 13854 14868 16163 18472 19824 20781 27708 29736 32326 36944 41562 48489 55416 59472 64652 83124 96978 110832 129304 136231 145467 166248 193956 258608 272462 290934 332496 387912 408693 544924 581868 775824 817386 953617 1089848 1163736 1226079 1634772 1907234 2179696 2327472 2452158 2860851 3269544 3814468 4904316 5721702 6539088 7628936 8582553 9808632 11443404 15257872 17165106 19617264 22886808 34330212 45773616 68660424 137320848