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132120000 = 263254367
BaseRepresentation
bin1111101111111…
…11110111000000
3100012121101120100
413313333313000
5232310320000
621035442400
73163000335
oct767776700
9305541510
10132120000
116863a791
12382b6400
13214ab71c
141379298c
15b8eba00
hex7dffdc0

132120000 has 210 divisors, whose sum is σ = 474510608. Its totient is φ = 35136000.

The previous prime is 132119993. The next prime is 132120011. The reversal of 132120000 is 21231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359817 + ... + 360183.

Almost surely, 2132120000 is an apocalyptic number.

132120000 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 132120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237255304).

132120000 is an abundant number, since it is smaller than the sum of its proper divisors (342390608).

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

132120000 is an equidigital number, since it uses as much as digits as its factorization.

132120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 132120000 is about 11494.3464364008. The cubic root of 132120000 is about 509.3185824577.

Adding to 132120000 its reverse (21231), we get a palindrome (132141231).

It can be divided in two parts, 1321 and 20000, that added together give a triangular number (21321 = T206).

The spelling of 132120000 in words is "one hundred thirty-two million, one hundred twenty thousand".