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125149332 = 223721121759
BaseRepresentation
bin1110111010110…
…10000010010100
322201111020121110
413131122002110
5224014234312
620230215020
73046515600
oct735320224
9281436543
10125149332
1164709600
1235ab4470
131cc0a979
141289a500
15aec143c
hex775a094

125149332 has 108 divisors (see below), whose sum is σ = 373591680. Its totient is φ = 32487840.

The previous prime is 125149313. The next prime is 125149337. The reversal of 125149332 is 233941521.

It is a super-3 number, since 3×1251493323 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125149332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125149337) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 70269 + ... + 72027.

Almost surely, 2125149332 is an apocalyptic number.

125149332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125149332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186795840).

125149332 is an abundant number, since it is smaller than the sum of its proper divisors (248442348).

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

125149332 is a wasteful number, since it uses less digits than its factorization.

125149332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1782 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 125149332 is about 11187.0162241770. The cubic root of 125149332 is about 500.1990300969.

The spelling of 125149332 in words is "one hundred twenty-five million, one hundred forty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1452 1617 1694 1759 2156 2541 3234 3388 3518 5082 5277 5929 6468 7036 10164 10554 11858 12313 17787 19349 21108 23716 24626 35574 36939 38698 49252 58047 71148 73878 77396 86191 116094 135443 147756 172382 212839 232188 258573 270886 344764 406329 425678 517146 541772 638517 812658 851356 948101 1034292 1277034 1489873 1625316 1896202 2554068 2844303 2979746 3792404 4469619 5688606 5959492 8939238 10429111 11377212 17878476 20858222 31287333 41716444 62574666 125149332