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132255052000 = 2553316715919
BaseRepresentation
bin111101100101100000…
…0111111000011100000
3110122101002012202102021
41323023000333003200
54131324243131000
6140431312431224
712361255251661
oct1731300770340
9418332182367
10132255052000
11510a8590075
122176bb48514
13c61913cc26
146588b97368
153690d0711a
hex1ecb03f0e0

132255052000 has 192 divisors, whose sum is σ = 340460789760. Its totient is φ = 50428224000.

The previous prime is 132255051983. The next prime is 132255052001. The reversal of 132255052000 is 250552231.

It is a happy number.

132255052000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132255052001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8300041 + ... + 8315959.

It is an arithmetic number, because the mean of its divisors is an integer number (1773233280).

Almost surely, 2132255052000 is an apocalyptic number.

132255052000 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 132255052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170230394880).

132255052000 is an abundant number, since it is smaller than the sum of its proper divisors (208205737760).

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

132255052000 is a wasteful number, since it uses less digits than its factorization.

132255052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16042 (or 16024 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 132255052000 in words is "one hundred thirty-two billion, two hundred fifty-five million, fifty-two thousand".