| Base | Representation |
|---|---|
| bin | 1110111101100… |
| … | …11000010000000 |
| 3 | 22202011202122100 |
| 4 | 13132303002000 |
| 5 | 224112420411 |
| 6 | 20242110400 |
| 7 | 3052564416 |
| oct | 736630200 |
| 9 | 282152570 |
| 10 | 125513856 |
| 11 | 64938466 |
| 12 | 3604b400 |
| 13 | 20007870 |
| 14 | 129532b6 |
| 15 | b044456 |
| hex | 77b3080 |
125513856 has 288 divisors, whose sum is σ = 427436100. Its totient is φ = 35094528.
The previous prime is 125513849. The next prime is 125513863. The reversal of 125513856 is 658315521.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (125513849) and next prime (125513863).
It can be written as a sum of positive squares in 6 ways, for example, as 76737600 + 48776256 = 8760^2 + 6984^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (36000) is a multiple of the sum of its prime factors (96).
It is a self number, because there is not a number n which added to its sum of digits gives 125513856.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4328050 + ... + 4328078.
Almost surely, 2125513856 is an apocalyptic number.
125513856 is a gapful number since it is divisible by the number (16) 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 125513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213718050).
125513856 is an abundant number, since it is smaller than the sum of its proper divisors (301922244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
125513856 is a wasteful number, since it uses less digits than its factorization.
125513856 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 96 (or 64 counting only the distinct ones).
The product of its digits is 36000, while the sum is 36.
The square root of 125513856 is about 11203.2966576807. The cubic root of 125513856 is about 500.6842046343.
The spelling of 125513856 in words is "one hundred twenty-five million, five hundred thirteen thousand, eight hundred fifty-six".
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