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125537500 = 225511283
BaseRepresentation
bin1110111101110…
…00110011011100
322202012222002001
413132320303130
5224114200000
620242412044
73053023354
oct736706334
9282188061
10125537500
1164954200
1236061024
132001555a
141295bb64
15b04b46a
hex77b8cdc

125537500 has 108 divisors (see below), whose sum is σ = 305464824. Its totient is φ = 45100000.

The previous prime is 125537459. The next prime is 125537513. The reversal of 125537500 is 5735521.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1512459 + ... + 1512541.

It is an arithmetic number, because the mean of its divisors is an integer number (2828378).

Almost surely, 2125537500 is an apocalyptic number.

125537500 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 125537500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152732412).

125537500 is an abundant number, since it is smaller than the sum of its proper divisors (179927324).

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

125537500 is an equidigital number, since it uses as much as digits as its factorization.

125537500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 125537500 is about 11204.3518331048. The cubic root of 125537500 is about 500.7156418914.

The spelling of 125537500 in words is "one hundred twenty-five million, five hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 121 125 166 220 242 250 275 332 415 484 500 550 605 625 830 913 1100 1210 1250 1375 1660 1826 2075 2420 2500 2750 3025 3125 3652 4150 4565 5500 6050 6250 6875 8300 9130 10043 10375 12100 12500 13750 15125 18260 20086 20750 22825 27500 30250 34375 40172 41500 45650 50215 51875 60500 68750 75625 91300 100430 103750 114125 137500 151250 200860 207500 228250 251075 259375 302500 378125 456500 502150 518750 570625 756250 1004300 1037500 1141250 1255375 1512500 2282500 2510750 2853125 5021500 5706250 6276875 11412500 12553750 25107500 31384375 62768750 125537500