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125136020 = 22543227641
BaseRepresentation
bin1110111010101…
…10110010010100
322201110120100102
413131112302110
5224013323040
620230033232
73046432022
oct735266224
9281416312
10125136020
11646aa5a9
1235aa8818
131cc048a9
1412895712
15aebc515
hex7756c94

125136020 has 48 divisors (see below), whose sum is σ = 270502848. Its totient is φ = 48599040.

The previous prime is 125136017. The next prime is 125136023. The reversal of 125136020 is 20631521.

It is an interprime number because it is at equal distance from previous prime (125136017) and next prime (125136023).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 125135983 and 125136001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125136023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194900 + ... + 195540.

It is an arithmetic number, because the mean of its divisors is an integer number (5635476).

Almost surely, 2125136020 is an apocalyptic number.

125136020 is a gapful number since it is divisible by the number (10) 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 125136020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135251424).

125136020 is an abundant number, since it is smaller than the sum of its proper divisors (145366828).

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

125136020 is a wasteful number, since it uses less digits than its factorization.

125136020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 125136020 is about 11186.4212329055. The cubic root of 125136020 is about 500.1812942568.

Adding to 125136020 its reverse (20631521), we get a palindrome (145767541).

The spelling of 125136020 in words is "one hundred twenty-five million, one hundred thirty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 227 430 454 641 860 908 1135 1282 2270 2564 3205 4540 6410 9761 12820 19522 27563 39044 48805 55126 97610 110252 137815 145507 195220 275630 291014 551260 582028 727535 1455070 2910140 6256801 12513602 25027204 31284005 62568010 125136020