Search a number
-
+
125135200 = 2552156419
BaseRepresentation
bin1110111010101…
…10100101100000
322201110112020001
413131112211200
5224013311300
620230025344
73046426441
oct735264540
9281415201
10125135200
11646a9a23
1235aa8254
131cc043c8
14128952c8
15aebc16a
hex7756960

125135200 has 36 divisors (see below), whose sum is σ = 305488260. Its totient is φ = 50053760.

The previous prime is 125135191. The next prime is 125135207. The reversal of 125135200 is 2531521.

It is a super-3 number, since 3×1251352003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125135207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77410 + ... + 79009.

It is an arithmetic number, because the mean of its divisors is an integer number (8485785).

Almost surely, 2125135200 is an apocalyptic number.

125135200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125135200 is an abundant number, since it is smaller than the sum of its proper divisors (180353060).

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

125135200 is a wasteful number, since it uses less digits than its factorization.

125135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156439 (or 156426 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 125135200 is about 11186.3845812666. The cubic root of 125135200 is about 500.1802017135.

Adding to 125135200 its reverse (2531521), we get a palindrome (127666721).

The spelling of 125135200 in words is "one hundred twenty-five million, one hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 156419 312838 625676 782095 1251352 1564190 2502704 3128380 3910475 5005408 6256760 7820950 12513520 15641900 25027040 31283800 62567600 125135200