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125834148 = 2236113923
BaseRepresentation
bin1111000000000…
…01001110100100
322202210001000000
413200001032210
5224203143043
620253021300
73055400256
oct740011644
9282701000
10125834148
1165037070
1236184830
13200ba59b
14129d7cd6
15b0a92d3
hex78013a4

125834148 has 84 divisors (see below), whose sum is σ = 360270288. Its totient is φ = 38121840.

The previous prime is 125834147. The next prime is 125834179. The reversal of 125834148 is 841438521.

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

It is not an unprimeable number, because it can be changed into a prime (125834141) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30115 + ... + 34037.

It is an arithmetic number, because the mean of its divisors is an integer number (4288932).

Almost surely, 2125834148 is an apocalyptic number.

125834148 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 125834148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180135144).

125834148 is an abundant number, since it is smaller than the sum of its proper divisors (234436140).

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

125834148 is a wasteful number, since it uses less digits than its factorization.

125834148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3939 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 125834148 is about 11217.5820924119. The cubic root of 125834148 is about 501.1097324987.

The spelling of 125834148 in words is "one hundred twenty-five million, eight hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2673 2916 3564 3923 5346 7846 8019 10692 11769 15692 16038 23538 32076 35307 43153 47076 70614 86306 105921 129459 141228 172612 211842 258918 317763 388377 423684 517836 635526 776754 953289 1165131 1271052 1553508 1906578 2330262 2859867 3495393 3813156 4660524 5719734 6990786 10486179 11439468 13981572 20972358 31458537 41944716 62917074 125834148