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132133023000 = 233253114331039
BaseRepresentation
bin111101100001110111…
…1011110110100011000
3110122001120121001002200
41323003233132310120
54131102023214000
6140411233130200
712355244110206
oct1730357366430
9418046531080
10132133023000
1151045712960
12217370b9960
13c5c9a85614
1465768b0076
153685250500
hex1ec3bded18

132133023000 has 384 divisors, whose sum is σ = 498557030400. Its totient is φ = 31286304000.

The previous prime is 132133022977. The next prime is 132133023007. The reversal of 132133023000 is 320331231.

132133023000 is a `hidden beast` number, since 1 + 32 + 1 + 330 + 2 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133023007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4241481 + ... + 4272519.

It is an arithmetic number, because the mean of its divisors is an integer number (1298325600).

Almost surely, 2132133023000 is an apocalyptic number.

132133023000 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 132133023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249278515200).

132133023000 is an abundant number, since it is smaller than the sum of its proper divisors (366424007400).

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

132133023000 is a wasteful number, since it uses less digits than its factorization.

132133023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31120 (or 31103 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132133023000 its reverse (320331231), we get a palindrome (132453354231).

The spelling of 132133023000 in words is "one hundred thirty-two billion, one hundred thirty-three million, twenty-three thousand".