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125245152 = 25324311009
BaseRepresentation
bin1110111011100…
…01011011100000
322201200010001100
413131301123200
5224030321102
620232234400
73050365134
oct735613340
9281603040
10125245152
116477459a
1235b3ba00
131cc42476
14128c33c4
15aedea1c
hex77716e0

125245152 has 72 divisors (see below), whose sum is σ = 357346080. Its totient is φ = 41610240.

The previous prime is 125245147. The next prime is 125245181. The reversal of 125245152 is 251542521.

125245152 is a `hidden beast` number, since 125 + 24 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 123624 + ... + 124632.

It is an arithmetic number, because the mean of its divisors is an integer number (4963140).

Almost surely, 2125245152 is an apocalyptic number.

125245152 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 125245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178673040).

125245152 is an abundant number, since it is smaller than the sum of its proper divisors (232100928).

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

125245152 is a wasteful number, since it uses less digits than its factorization.

125245152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1445 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 125245152 is about 11191.2980480371. The cubic root of 125245152 is about 500.3266558787.

Adding to 125245152 its reverse (251542521), we get a palindrome (376787673).

The spelling of 125245152 in words is "one hundred twenty-five million, two hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 431 862 1009 1293 1724 2018 2586 3027 3448 3879 4036 5172 6054 6896 7758 8072 9081 10344 12108 13792 15516 16144 18162 20688 24216 31032 32288 36324 41376 48432 62064 72648 96864 124128 145296 290592 434879 869758 1304637 1739516 2609274 3479032 3913911 5218548 6958064 7827822 10437096 13916128 15655644 20874192 31311288 41748384 62622576 125245152