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131225760 = 2532591129
BaseRepresentation
bin1111101001001…
…01100010100000
3100010220221220100
413310211202200
5232043211020
621004342400
73152254251
oct764454240
9303827810
10131225760
1168089946
1237b44a00
13212576a3
14135dcb28
15b7c1a90
hex7d258a0

131225760 has 72 divisors (see below), whose sum is σ = 447812820. Its totient is φ = 34993152.

The previous prime is 131225747. The next prime is 131225777. The reversal of 131225760 is 67522131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 130233744 + 992016 = 11412^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1312257603 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44125 + ... + 47004.

Almost surely, 2131225760 is an apocalyptic number.

131225760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131225760 is an abundant number, since it is smaller than the sum of its proper divisors (316587060).

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

131225760 is a wasteful number, since it uses less digits than its factorization.

131225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91150 (or 91139 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131225760 is about 11455.3812682075. The cubic root of 131225760 is about 508.1668908334.

Adding to 131225760 its reverse (67522131), we get a palindrome (198747891).

It can be divided in two parts, 1312 and 25760, that added together give a palindrome (27072).

The spelling of 131225760 in words is "one hundred thirty-one million, two hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 91129 182258 273387 364516 455645 546774 729032 820161 911290 1093548 1366935 1458064 1640322 1822580 2187096 2733870 2916128 3280644 3645160 4100805 4374192 5467740 6561288 7290320 8201610 8748384 10935480 13122576 14580640 16403220 21870960 26245152 32806440 43741920 65612880 131225760