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125384148 = 22324497757
BaseRepresentation
bin1110111100100…
…11010111010100
322201221011201100
413132103113110
5224044243043
620235230100
73051514311
oct736232724
9281834640
10125384148
1164859a6a
1235ba8330
131cc90806
141291bd08
15b01acd3
hex77935d4

125384148 has 36 divisors (see below), whose sum is σ = 317690100. Its totient is φ = 41696256.

The previous prime is 125384137. The next prime is 125384153. The reversal of 125384148 is 841483521.

It can be written as a sum of positive squares in 2 ways, for example, as 90668484 + 34715664 = 9522^2 + 5892^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12286 + ... + 20042.

It is an arithmetic number, because the mean of its divisors is an integer number (8824725).

Almost surely, 2125384148 is an apocalyptic number.

125384148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125384148 is an abundant number, since it is smaller than the sum of its proper divisors (192305952).

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

125384148 is a wasteful number, since it uses less digits than its factorization.

125384148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8216 (or 8211 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 125384148 is about 11197.5063295361. The cubic root of 125384148 is about 500.5116735351.

The spelling of 125384148 in words is "one hundred twenty-five million, three hundred eighty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 449 898 1347 1796 2694 4041 5388 7757 8082 15514 16164 23271 31028 46542 69813 93084 139626 279252 3482893 6965786 10448679 13931572 20897358 31346037 41794716 62692074 125384148