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131425008 = 243111341467
BaseRepresentation
bin1111101010101…
…10001011110000
3100011022002012220
413311112023300
5232121100013
621012521040
73154044201
oct765261360
9304262186
10131425008
1168205610
1238020180
13212c72a0
14136515a8
15b810b23
hex7d562f0

131425008 has 160 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 35788800.

The previous prime is 131424991. The next prime is 131425043. The reversal of 131425008 is 800524131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281191 + ... + 281657.

Almost surely, 2131425008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131425008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

131425008 is an abundant number, since it is smaller than the sum of its proper divisors (278048784).

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

131425008 is a wasteful number, since it uses less digits than its factorization.

131425008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 131425008 is about 11464.0746682844. The cubic root of 131425008 is about 508.4239542701.

Adding to 131425008 its reverse (800524131), we get a palindrome (931949139).

The spelling of 131425008 in words is "one hundred thirty-one million, four hundred twenty-five thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 41 44 48 52 66 78 82 88 104 123 132 143 156 164 176 208 246 264 286 312 328 429 451 467 492 528 533 572 624 656 858 902 934 984 1066 1144 1353 1401 1599 1716 1804 1868 1968 2132 2288 2706 2802 3198 3432 3608 3736 4264 5137 5412 5604 5863 6071 6396 6864 7216 7472 8528 10274 10824 11208 11726 12142 12792 15411 17589 18213 19147 20548 21648 22416 23452 24284 25584 30822 35178 36426 38294 41096 46904 48568 57441 61644 66781 70356 72852 76588 82192 93808 97136 114882 123288 133562 140712 145704 153176 200343 210617 229764 246576 248911 267124 281424 291408 306352 400686 421234 459528 497822 534248 631851 746733 801372 842468 919056 995644 1068496 1263702 1493466 1602744 1684936 1991288 2527404 2738021 2986932 3205488 3369872 3982576 5054808 5476042 5973864 8214063 10109616 10952084 11947728 16428126 21904168 32856252 43808336 65712504 131425008