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125531250 = 235613103
BaseRepresentation
bin1110111101101…
…11010001110010
322202012122111120
413132313101302
5224114000000
620242323110
73052666215
oct736672162
9282178446
10125531250
116494a539
1236059496
1320012760
141295977c
15b0496a0
hex77b7472

125531250 has 112 divisors (see below), whose sum is σ = 341245632. Its totient is φ = 30600000.

The previous prime is 125531221. The next prime is 125531251. The reversal of 125531250 is 52135521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 125531250.

It is not an unprimeable number, because it can be changed into a prime (125531251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1218699 + ... + 1218801.

It is an arithmetic number, because the mean of its divisors is an integer number (3046836).

Almost surely, 2125531250 is an apocalyptic number.

125531250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125531250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170622816).

125531250 is an abundant number, since it is smaller than the sum of its proper divisors (215714382).

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

125531250 is an equidigital number, since it uses as much as digits as its factorization.

125531250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 125531250 is about 11204.0729201483. The cubic root of 125531250 is about 500.7073322237.

Adding to 125531250 its reverse (52135521), we get a palindrome (177666771).

The spelling of 125531250 in words is "one hundred twenty-five million, five hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 103 125 130 150 195 206 250 309 325 375 390 515 618 625 650 750 975 1030 1250 1339 1545 1625 1875 1950 2575 2678 3090 3125 3250 3750 4017 4875 5150 6250 6695 7725 8034 8125 9375 9750 12875 13390 15450 15625 16250 18750 20085 24375 25750 31250 33475 38625 40170 40625 46875 48750 64375 66950 77250 81250 93750 100425 121875 128750 167375 193125 200850 203125 243750 321875 334750 386250 406250 502125 609375 643750 836875 965625 1004250 1218750 1609375 1673750 1931250 2510625 3218750 4184375 4828125 5021250 8368750 9656250 12553125 20921875 25106250 41843750 62765625 125531250