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125521152 = 283353463
BaseRepresentation
bin1110111101101…
…00110100000000
322202012010122120
413132310310000
5224113134102
620242204240
73052624611
oct736646400
9282163576
10125521152
1164942999
1236053680
132000ac93
1412955c08
15b0466bc
hex77b4d00

125521152 has 72 divisors (see below), whose sum is σ = 335739264. Its totient is φ = 41631744.

The previous prime is 125521141. The next prime is 125521177. The reversal of 125521152 is 251125521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270873 + ... + 271335.

Almost surely, 2125521152 is an apocalyptic number.

125521152 is a gapful number since it is divisible by the number (12) 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 125521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167869632).

125521152 is an abundant number, since it is smaller than the sum of its proper divisors (210218112).

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

125521152 is an equidigital number, since it uses as much as digits as its factorization.

125521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 821 counting only the distinct ones).

The product of its digits is 1000, while the sum is 24.

The square root of 125521152 is about 11203.6222713906. The cubic root of 125521152 is about 500.6939058771.

Adding to 125521152 its reverse (251125521), we get a palindrome (376646673).

The spelling of 125521152 in words is "one hundred twenty-five million, five hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 353 384 463 706 768 926 1059 1389 1412 1852 2118 2778 2824 3704 4236 5556 5648 7408 8472 11112 11296 14816 16944 22224 22592 29632 33888 44448 45184 59264 67776 88896 90368 118528 135552 163439 177792 271104 326878 355584 490317 653756 980634 1307512 1961268 2615024 3922536 5230048 7845072 10460096 15690144 20920192 31380288 41840384 62760576 125521152