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125145100 = 225237149227
BaseRepresentation
bin1110111010110…
…01000000001100
322201111000210201
413131121000030
5224014120400
620230143244
73046500343
oct735310014
9281430721
10125145100
1164706403
1235ab1b24
131cc08a72
1412898b5a
15aec006a
hex775900c

125145100 has 72 divisors (see below), whose sum is σ = 282013200. Its totient is φ = 48165120.

The previous prime is 125145091. The next prime is 125145113. The reversal of 125145100 is 1541521.

It is a super-2 number, since 2×1251451002 = 31322592108020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551187 + ... + 551413.

It is an arithmetic number, because the mean of its divisors is an integer number (3916850).

Almost surely, 2125145100 is an apocalyptic number.

125145100 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 125145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141006600).

125145100 is an abundant number, since it is smaller than the sum of its proper divisors (156868100).

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

125145100 is a wasteful number, since it uses less digits than its factorization.

125145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 125145100 is about 11186.8270747339. The cubic root of 125145100 is about 500.1933918562.

Adding to 125145100 its reverse (1541521), we get a palindrome (126686621).

The spelling of 125145100 in words is "one hundred twenty-five million, one hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 149 185 227 298 370 454 596 740 745 908 925 1135 1490 1850 2270 2980 3700 3725 4540 5513 5675 7450 8399 11026 11350 14900 16798 22052 22700 27565 33596 33823 41995 55130 67646 83990 110260 135292 137825 167980 169115 209975 275650 338230 419950 551300 676460 839900 845575 1251451 1691150 2502902 3382300 5005804 6257255 12514510 25029020 31286275 62572550 125145100