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131225160 = 233511891117
BaseRepresentation
bin1111101001001…
…01011001001000
3100010220221002010
413310211121020
5232043201120
621004335520
73152252433
oct764453110
9303827063
10131225160
1168089450
1237b445a0
1321257331
14135dc81a
15b7c17e0
hex7d25648

131225160 has 128 divisors (see below), whose sum is σ = 434678400. Its totient is φ = 31426560.

The previous prime is 131225147. The next prime is 131225161. The reversal of 131225160 is 61522131.

It is not an unprimeable number, because it can be changed into a prime (131225161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116922 + ... + 118038.

It is an arithmetic number, because the mean of its divisors is an integer number (3395925).

Almost surely, 2131225160 is an apocalyptic number.

131225160 is a gapful number since it is divisible by the number (10) 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 131225160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217339200).

131225160 is an abundant number, since it is smaller than the sum of its proper divisors (303453240).

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

131225160 is a wasteful number, since it uses less digits than its factorization.

131225160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 131225160 is about 11455.3550796123. The cubic root of 131225160 is about 508.1661163396.

Adding to 131225160 its reverse (61522131), we get a palindrome (192747291).

The spelling of 131225160 in words is "one hundred thirty-one million, two hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 356 440 445 534 660 712 890 979 1068 1117 1320 1335 1780 1958 2136 2234 2670 2937 3351 3560 3916 4468 4895 5340 5585 5874 6702 7832 8936 9790 10680 11170 11748 12287 13404 14685 16755 19580 22340 23496 24574 26808 29370 33510 36861 39160 44680 49148 58740 61435 67020 73722 98296 99413 117480 122870 134040 147444 184305 198826 245740 294888 298239 368610 397652 491480 497065 596478 737220 795304 994130 1093543 1192956 1474440 1491195 1988260 2187086 2385912 2982390 3280629 3976520 4374172 5467715 5964780 6561258 8748344 10935430 11929560 13122516 16403145 21870860 26245032 32806290 43741720 65612580 131225160