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125168505 = 35711307353
BaseRepresentation
bin1110111010111…
…10101101111001
322201112012220120
413131132231321
5224020343010
620230443453
73046625520
oct735365571
9281465816
10125168505
1164721a50
1235b03589
131cc16607
14128a34b7
15aec6e70
hex775eb79

125168505 has 64 divisors (see below), whose sum is σ = 251209728. Its totient is φ = 51701760.

The previous prime is 125168497. The next prime is 125168513. The reversal of 125168505 is 505861521.

It is an interprime number because it is at equal distance from previous prime (125168497) and next prime (125168513).

It is not a de Polignac number, because 125168505 - 23 = 125168497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354409 + ... + 354761.

It is an arithmetic number, because the mean of its divisors is an integer number (3925152).

Almost surely, 2125168505 is an apocalyptic number.

125168505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125168505 is an abundant number, since it is smaller than the sum of its proper divisors (126041223).

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

125168505 is a wasteful number, since it uses less digits than its factorization.

125168505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686.

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 125168505 is about 11187.8731222695. The cubic root of 125168505 is about 500.2245724527.

The spelling of 125168505 in words is "one hundred twenty-five million, one hundred sixty-eight thousand, five hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 307 353 385 921 1059 1155 1535 1765 2149 2471 3377 3883 4605 5295 6447 7413 10131 10745 11649 12355 16885 19415 23639 27181 32235 37065 50655 58245 70917 81543 108371 118195 135905 325113 354585 407715 541855 758597 1192081 1625565 2275791 3576243 3792985 5960405 8344567 11378955 17881215 25033701 41722835 125168505