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125140512 = 2537237719
BaseRepresentation
bin1110111010101…
…11111000100000
322201110210111210
413131113320200
5224013444022
620230110120
73046451100
oct735277040
9281423453
10125140512
1164702a12
1235aab340
131cc06953
1412897200
15aebda0c
hex7757e20

125140512 has 144 divisors (see below), whose sum is σ = 392999040. Its totient is φ = 34739712.

The previous prime is 125140489. The next prime is 125140529. The reversal of 125140512 is 215041521.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 173689 + ... + 174407.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2125140512 is an apocalyptic number.

125140512 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 125140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196499520).

125140512 is an abundant number, since it is smaller than the sum of its proper divisors (267858528).

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

125140512 is a wasteful number, since it uses less digits than its factorization.

125140512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 125140512 is about 11186.6220102406. The cubic root of 125140512 is about 500.1872791776.

The spelling of 125140512 in words is "one hundred twenty-five million, one hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 74 84 96 98 111 112 147 148 168 196 222 224 259 294 296 336 392 444 518 588 592 672 719 777 784 888 1036 1176 1184 1438 1554 1568 1776 1813 2072 2157 2352 2876 3108 3552 3626 4144 4314 4704 5033 5439 5752 6216 7252 8288 8628 10066 10878 11504 12432 14504 15099 17256 20132 21756 23008 24864 26603 29008 30198 34512 35231 40264 43512 53206 58016 60396 69024 70462 79809 80528 87024 105693 106412 120792 140924 159618 161056 174048 186221 211386 212824 241584 281848 319236 372442 422772 425648 483168 558663 563696 638472 744884 845544 851296 1117326 1127392 1276944 1303547 1489768 1691088 2234652 2553888 2607094 2979536 3382176 3910641 4469304 5214188 5959072 7821282 8938608 10428376 15642564 17877216 20856752 31285128 41713504 62570256 125140512