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125166468 = 22373171677
BaseRepresentation
bin1110111010111…
…10001110000100
322201112010010010
413131132032010
5224020311333
620230430220
73046616550
oct735361604
9281463103
10125166468
1164720469
1235b02370
131cc156cb
14128a2860
15aec6563
hex775e384

125166468 has 96 divisors (see below), whose sum is σ = 349913088. Its totient is φ = 34070400.

The previous prime is 125166463. The next prime is 125166469. The reversal of 125166468 is 864661521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (125166463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184546 + ... + 185222.

It is an arithmetic number, because the mean of its divisors is an integer number (3644928).

Almost surely, 2125166468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125166468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174956544).

125166468 is an abundant number, since it is smaller than the sum of its proper divisors (224746620).

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

125166468 is a wasteful number, since it uses less digits than its factorization.

125166468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 125166468 is about 11187.7820858292. The cubic root of 125166468 is about 500.2218588761.

The spelling of 125166468 in words is "one hundred twenty-five million, one hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 71 84 93 124 142 186 213 217 284 372 426 434 497 651 677 852 868 994 1302 1354 1491 1988 2031 2201 2604 2708 2982 4062 4402 4739 5964 6603 8124 8804 9478 13206 14217 15407 18956 20987 26412 28434 30814 41974 46221 48067 56868 61628 62961 83948 92442 96134 125922 144201 146909 184884 192268 251844 288402 293818 336469 440727 576804 587636 672938 881454 1009407 1345876 1490077 1762908 2018814 2980154 4037628 4470231 5960308 8940462 10430539 17880924 20861078 31291617 41722156 62583234 125166468