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132396000000 = 28356111759
BaseRepresentation
bin111101101001101101…
…0101010001100000000
3110122201220102122201120
41323103122222030000
54132121334000000
6140453305432240
712364616301045
oct1732332521400
9418656378646
10132396000000
11511700aa420
12217ab19b680
13c63c3bc904
14659d7a71cc
15369d3996a0
hex1ed36aa300

132396000000 has 1008 divisors, whose sum is σ = 517380877440. Its totient is φ = 29696000000.

The previous prime is 132395999993. The next prime is 132396000031. The reversal of 132396000000 is 693231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2243999971 + ... + 2244000029.

It is an arithmetic number, because the mean of its divisors is an integer number (513274680).

Almost surely, 2132396000000 is an apocalyptic number.

132396000000 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 132396000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258690438720).

132396000000 is an abundant number, since it is smaller than the sum of its proper divisors (384984877440).

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

132396000000 is an frugal number, since it uses more digits than its factorization.

132396000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 132396000000 its reverse (693231), we get a palindrome (132396693231).

The spelling of 132396000000 in words is "one hundred thirty-two billion, three hundred ninety-six million", and thus it is an aban number.