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149066775 = 3252111341113
BaseRepresentation
bin10001110001010…
…01010000010111
3101101111101011200
420320221100113
5301130114100
622443003543
73460022004
oct1070512027
9341441150
10149066775
1177165090
1241b095b3
1324b631c0
1415b248ab
15d147e00
hex8e29417

149066775 has 144 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 64512000.

The previous prime is 149066677. The next prime is 149066777. The reversal of 149066775 is 577660941.

It is a happy number.

It is not a de Polignac number, because 149066775 - 210 = 149065751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 149066775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149066777) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1319119 + ... + 1319231.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2149066775 is an apocalyptic number.

149066775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

149066775 is an abundant number, since it is smaller than the sum of its proper divisors (175099977).

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

149066775 is a wasteful number, since it uses less digits than its factorization.

149066775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 149066775 is about 12209.2905199278. The cubic root of 149066775 is about 530.2251031459.

It can be divided in two parts, 1490 and 66775, that added together give a triangular number (68265 = T369).

The spelling of 149066775 in words is "one hundred forty-nine million, sixty-six thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 41 45 55 65 75 99 113 117 123 143 165 195 205 225 275 325 339 369 429 451 495 533 565 585 615 715 825 975 1017 1025 1243 1287 1353 1469 1599 1695 1845 2145 2255 2475 2665 2825 2925 3075 3575 3729 4059 4407 4633 4797 5085 5863 6215 6435 6765 7345 7995 8475 9225 10725 11187 11275 13221 13325 13899 16159 17589 18645 20295 22035 23165 23985 25425 29315 31075 32175 33825 36725 39975 41697 48477 50963 52767 55935 60229 66105 69495 80795 87945 93225 101475 110175 115825 119925 145431 146575 152889 180687 208485 242385 254815 263835 279675 301145 330525 347475 403975 439725 458667 542061 662519 727155 764445 903435 1042425 1211925 1274075 1319175 1505725 1987557 2293335 2710305 3312595 3635775 3822225 4517175 5962671 9937785 11466675 13551525 16562975 29813355 49688925 149066775