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137131250 = 25537593
BaseRepresentation
bin10000010110001…
…11010011110010
3100120000222201012
420023013103302
5240101200000
621335110522
73253411364
oct1013072362
9316028635
10137131250
1170452813
1239b12442
1322544669
14142d8d34
15c08b735
hex82c74f2

137131250 has 48 divisors (see below), whose sum is σ = 264498696. Its totient is φ = 53280000.

The previous prime is 137131243. The next prime is 137131261. The reversal of 137131250 is 52131731.

It can be written as a sum of positive squares in 12 ways, for example, as 27237961 + 109893289 = 5219^2 + 10483^2 .

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 23 ways as a sum of consecutive naturals, for example, 230954 + ... + 231546.

Almost surely, 2137131250 is an apocalyptic number.

137131250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137131250 is a deficient number, since it is larger than the sum of its proper divisors (127367446).

137131250 is an frugal number, since it uses more digits than its factorization.

137131250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 137131250 is about 11710.3052906404. The cubic root of 137131250 is about 515.6782467204.

Adding to 137131250 its reverse (52131731), we get a palindrome (189262981).

The spelling of 137131250 in words is "one hundred thirty-seven million, one hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 5 10 25 37 50 74 125 185 250 370 593 625 925 1186 1250 1850 2965 3125 4625 5930 6250 9250 14825 21941 23125 29650 43882 46250 74125 109705 115625 148250 219410 231250 370625 548525 741250 1097050 1853125 2742625 3706250 5485250 13713125 27426250 68565625 137131250