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132132102000 = 24353231317309
BaseRepresentation
bin111101100001110101…
…1111101111101110000
3110122001111212020201120
41323003223331331300
54131101304231000
6140411201302240
712355233223113
oct1730353757560
9418044766646
10132132102000
11510451439a8
1221736934980
13c5c9822352
14657671057a
15368511c6a0
hex1ec3afdf70

132132102000 has 320 divisors, whose sum is σ = 447969899520. Its totient is φ = 33441408000.

The previous prime is 132132101929. The next prime is 132132102007. The reversal of 132132102000 is 201231231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132132102007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18074346 + ... + 18081654.

It is an arithmetic number, because the mean of its divisors is an integer number (1399905936).

Almost surely, 2132132102000 is an apocalyptic number.

132132102000 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 132132102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223984949760).

132132102000 is an abundant number, since it is smaller than the sum of its proper divisors (315837797520).

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

132132102000 is a wasteful number, since it uses less digits than its factorization.

132132102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7489 (or 7473 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132132102000 its reverse (201231231), we get a palindrome (132333333231).

The spelling of 132132102000 in words is "one hundred thirty-two billion, one hundred thirty-two million, one hundred two thousand".