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125540352 = 2113272139
BaseRepresentation
bin1110111101110…
…01100000000000
322202020002222200
413132321200000
5224114242402
620242433200
73053034600
oct736714000
9282202880
10125540352
1164956363
1236062800
1320016942
141295cc00
15b04c21c
hex77b9800

125540352 has 216 divisors, whose sum is σ = 424815300. Its totient is φ = 35610624.

The previous prime is 125540351. The next prime is 125540357. The reversal of 125540352 is 253045521.

It is a happy number.

125540352 is a `hidden beast` number, since 1 + 255 + 403 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125540351) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 903099 + ... + 903237.

Almost surely, 2125540352 is an apocalyptic number.

125540352 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 125540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212407650).

125540352 is an abundant number, since it is smaller than the sum of its proper divisors (299274948).

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

125540352 is a wasteful number, since it uses less digits than its factorization.

125540352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 125540352 is about 11204.4791043582. The cubic root of 125540352 is about 500.7194336672.

Adding to 125540352 its reverse (253045521), we get a palindrome (378585873).

The spelling of 125540352 in words is "one hundred twenty-five million, five hundred forty thousand, three hundred fifty-two".