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132088725360 = 243251371797481
BaseRepresentation
bin111101100000100011…
…0011111111101110000
3110121221111020111011100
41323001012133331300
54131004203202420
6140403011444400
712354165432444
oct1730106377560
9417844214140
10132088725360
1151022707439
12217242b6700
13c5c08458b7
146570a5c824
153681400190
hex1ec119ff70

132088725360 has 240 divisors, whose sum is σ = 449392263840. Its totient is φ = 34766561280.

The previous prime is 132088725331. The next prime is 132088725367. The reversal of 132088725360 is 63527880231.

132088725360 is a `hidden beast` number, since 1 + 3 + 208 + 87 + 2 + 5 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132088725367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17652820 + ... + 17660300.

It is an arithmetic number, because the mean of its divisors is an integer number (1872467766).

Almost surely, 2132088725360 is an apocalyptic number.

132088725360 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 132088725360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224696131920).

132088725360 is an abundant number, since it is smaller than the sum of its proper divisors (317303538480).

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

132088725360 is a wasteful number, since it uses less digits than its factorization.

132088725360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 132088725360 in words is "one hundred thirty-two billion, eighty-eight million, seven hundred twenty-five thousand, three hundred sixty".