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125013735 = 325711109331
BaseRepresentation
bin1110111001110…
…00111011100111
322201020100121100
413130320323213
5224000414420
620223251143
73045412350
oct734707347
9281210540
10125013735
1164626740
1235a49ab3
131cb91032
1412862d27
15ae96190
hex7738ee7

125013735 has 96 divisors (see below), whose sum is σ = 273461760. Its totient is φ = 51321600.

The previous prime is 125013703. The next prime is 125013769. The reversal of 125013735 is 537310521.

It is not a de Polignac number, because 125013735 - 25 = 125013703 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125013699 and 125013708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377520 + ... + 377850.

It is an arithmetic number, because the mean of its divisors is an integer number (2848560).

Almost surely, 2125013735 is an apocalyptic number.

125013735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125013735 is an abundant number, since it is smaller than the sum of its proper divisors (148448025).

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

125013735 is a wasteful number, since it uses less digits than its factorization.

125013735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 125013735 is about 11180.9541184999. The cubic root of 125013735 is about 500.0183126626.

The spelling of 125013735 in words is "one hundred twenty-five million, thirteen thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 109 165 231 315 327 331 385 495 545 693 763 981 993 1155 1199 1635 1655 2289 2317 2979 3465 3597 3641 3815 4905 4965 5995 6867 6951 8393 10791 10923 11445 11585 14895 17985 18205 20853 25179 25487 32769 34335 34755 36079 41965 53955 54615 75537 76461 104265 108237 125895 127435 163845 180395 229383 252553 324711 377685 382305 396869 541185 757659 1146915 1190607 1262765 1623555 1984345 2272977 2778083 3571821 3788295 5953035 8334249 11364885 13890415 17859105 25002747 41671245 125013735