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131148450 = 23352195113
BaseRepresentation
bin1111101000100…
…10101010100010
3100010210000212000
413310102222202
5232033222300
621002544430
73151512666
oct764225242
9303700760
10131148450
1168036854
1237b08116
132122b444
14135bc8a6
15b7a8c00
hex7d12aa2

131148450 has 96 divisors (see below), whose sum is σ = 380481600. Its totient is φ = 33125760.

The previous prime is 131148449. The next prime is 131148481. The reversal of 131148450 is 54841131.

It is a happy number.

131148450 is a `hidden beast` number, since 131 + 1 + 484 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23094 + ... + 28206.

It is an arithmetic number, because the mean of its divisors is an integer number (3963350).

Almost surely, 2131148450 is an apocalyptic number.

131148450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131148450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190240800).

131148450 is an abundant number, since it is smaller than the sum of its proper divisors (249333150).

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

131148450 is a wasteful number, since it uses less digits than its factorization.

131148450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 131148450 is about 11452.0063744306. The cubic root of 131148450 is about 508.0670778600.

Adding to 131148450 its reverse (54841131), we get a palindrome (185989581).

The spelling of 131148450 in words is "one hundred thirty-one million, one hundred forty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 450 475 513 570 675 855 950 1026 1350 1425 1710 2565 2850 4275 5113 5130 8550 10226 12825 15339 25565 25650 30678 46017 51130 76695 92034 97147 127825 138051 153390 194294 230085 255650 276102 291441 383475 460170 485735 582882 690255 766950 874323 971470 1150425 1380510 1457205 1748646 2300850 2428675 2622969 2914410 3451275 4371615 4857350 5245938 6902550 7286025 8743230 13114845 14572050 21858075 26229690 43716150 65574225 131148450