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125368152 = 233713137419
BaseRepresentation
bin1110111100011…
…11011101011000
322201220100202220
413132033131120
5224043240102
620235024040
73051416550
oct736173530
9281810686
10125368152
1164848a48
1235b9b020
131cc86450
1412916160
15b0161bc
hex778f758

125368152 has 128 divisors (see below), whose sum is σ = 389491200. Its totient is φ = 32744448.

The previous prime is 125368141. The next prime is 125368157. The reversal of 125368152 is 251863521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125368157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298999 + ... + 299417.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2125368152 is an apocalyptic number.

125368152 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 125368152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

125368152 is an abundant number, since it is smaller than the sum of its proper divisors (264123048).

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

125368152 is a wasteful number, since it uses less digits than its factorization.

125368152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 125368152 is about 11196.7920405802. The cubic root of 125368152 is about 500.4903882149.

The spelling of 125368152 in words is "one hundred twenty-five million, three hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 137 156 168 182 273 274 312 364 411 419 546 548 728 822 838 959 1092 1096 1257 1644 1676 1781 1918 2184 2514 2877 2933 3288 3352 3562 3836 5028 5343 5447 5754 5866 7124 7672 8799 10056 10686 10894 11508 11732 12467 14248 16341 17598 21372 21788 23016 23464 24934 32682 35196 37401 38129 42744 43576 49868 57403 65364 70392 74802 76258 99736 114387 114806 130728 149604 152516 172209 228774 229612 299208 305032 344418 401821 457548 459224 688836 746239 803642 915096 1205463 1377672 1492478 1607284 2238717 2410926 2984956 3214568 4477434 4821852 5223673 5969912 8954868 9643704 10447346 15671019 17909736 20894692 31342038 41789384 62684076 125368152