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132740384256000 = 212345353131461
BaseRepresentation
bin11110001011101000000111…
…011100110111000000000000
3122101222212010121110022010000
4132023220013130313000000
5114344304301332143000
61150152031331040000
736650114315433663
oct3613500734670000
9571885117408100
10132740384256000
1139327976417994
1212a79b86140000
13590b497b27151
1424ac9515876da
151052d36c19000
hex78ba07737000

132740384256000 has 2080 divisors, whose sum is σ = 509162676998976. Its totient is φ = 34389688320000.

The previous prime is 132740384255923. The next prime is 132740384256001. The reversal of 132740384256000 is 652483047231.

132740384256000 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 4 + 0 + 3 + 84 + 2 + 560 + 0 + 0 = 666.

132740384256000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1327403842560002 (a number of 29 digits) contains 22 as substring.

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 (132740384256001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 287940095770 + ... + 287940096230.

Almost surely, 2132740384256000 is an apocalyptic number.

132740384256000 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 132740384256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254581338499488).

132740384256000 is an abundant number, since it is smaller than the sum of its proper divisors (376422292742976).

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

132740384256000 is an equidigital number, since it uses as much as digits as its factorization.

132740384256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 132740384256000 in words is "one hundred thirty-two trillion, seven hundred forty billion, three hundred eighty-four million, two hundred fifty-six thousand".