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137448192 = 283737691
BaseRepresentation
bin10000011000101…
…00101100000000
3100120122002110210
420030110230000
5240141320232
621345554120
73256201410
oct1014245400
9316562423
10137448192
1170649952
123a045940
13226259bb
141437c640
15c1005cc
hex8314b00

137448192 has 144 divisors (see below), whose sum is σ = 429992192. Its totient is φ = 38154240.

The previous prime is 137448191. The next prime is 137448211. The reversal of 137448192 is 291844731.

It is a self number, because there is not a number n which added to its sum of digits gives 137448192.

It is not an unprimeable number, because it can be changed into a prime (137448191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198567 + ... + 199257.

Almost surely, 2137448192 is an apocalyptic number.

137448192 is a gapful number since it is divisible by the number (12) 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 137448192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214996096).

137448192 is an abundant number, since it is smaller than the sum of its proper divisors (292544000).

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

137448192 is an equidigital number, since it uses as much as digits as its factorization.

137448192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 137448192 is about 11723.8300908875. The cubic root of 137448192 is about 516.0752248961.

The spelling of 137448192 in words is "one hundred thirty-seven million, four hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 518 592 672 691 768 777 888 896 1036 1184 1344 1382 1554 1776 1792 2072 2073 2368 2688 2764 3108 3552 4144 4146 4736 4837 5376 5528 6216 7104 8288 8292 9472 9674 11056 12432 14208 14511 16576 16584 19348 22112 24864 25567 28416 29022 33152 33168 38696 44224 49728 51134 58044 66304 66336 76701 77392 88448 99456 102268 116088 132672 153402 154784 176896 178969 198912 204536 232176 265344 306804 309568 357938 409072 464352 530688 536907 613608 619136 715876 818144 928704 1073814 1227216 1238272 1431752 1636288 1857408 2147628 2454432 2863504 3272576 3714816 4295256 4908864 5727008 6545152 8590512 9817728 11454016 17181024 19635456 22908032 34362048 45816064 68724096 137448192