Search a number
-
+
125131149 = 3511132277
BaseRepresentation
bin1110111010101…
…01100110001101
322201110022200000
413131111212031
5224013144044
620225554513
73046411563
oct735254615
9281408600
10125131149
11646a6980
1235aa5a39
131cc02600
1412893a33
15aebad69
hex775598d

125131149 has 72 divisors (see below), whose sum is σ = 222217632. Its totient is φ = 69750720.

The previous prime is 125131147. The next prime is 125131177. The reversal of 125131149 is 941131521.

It is a happy number.

125131149 is a `hidden beast` number, since 1 + 2 + 513 + 1 + 149 = 666.

It is not a de Polignac number, because 125131149 - 21 = 125131147 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125131141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 451599 + ... + 451875.

It is an arithmetic number, because the mean of its divisors is an integer number (3086356).

Almost surely, 2125131149 is an apocalyptic number.

It is an amenable number.

125131149 is a deficient number, since it is larger than the sum of its proper divisors (97086483).

125131149 is a wasteful number, since it uses less digits than its factorization.

125131149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 125131149 is about 11186.2035114689. The cubic root of 125131149 is about 500.1748042132.

It can be divided in two parts, 1251 and 31149, that added together give a square (32400 = 1802).

The spelling of 125131149 in words is "one hundred twenty-five million, one hundred thirty-one thousand, one hundred forty-nine".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 169 243 277 297 351 429 507 831 891 1053 1287 1521 1859 2493 2673 3047 3159 3601 3861 4563 5577 7479 9141 10803 11583 13689 16731 22437 27423 32409 34749 39611 41067 46813 50193 67311 82269 97227 118833 140439 150579 246807 291681 356499 421317 451737 514943 740421 875043 1069497 1263951 1544829 3208491 3791853 4634487 9625473 11375559 13903461 41710383 125131149