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132444052000 = 25531319912799
BaseRepresentation
bin111101101011001000…
…1111101101000100000
3110122212020211221200021
41323112101331220200
54132221134131000
6140502143403224
712366041603251
oct1732621755040
9418766757607
10132444052000
115119523a617
12218032b3514
13c649345450
1465a5d14b28
1536a26dc11a
hex1ed647da20

132444052000 has 192 divisors, whose sum is σ = 352235520000. Its totient is φ = 48652876800.

The previous prime is 132444051953. The next prime is 132444052003. The reversal of 132444052000 is 250444231.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (132444052003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10341601 + ... + 10354399.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560000).

Almost surely, 2132444052000 is an apocalyptic number.

132444052000 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 132444052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760000).

132444052000 is an abundant number, since it is smaller than the sum of its proper divisors (219791468000).

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

132444052000 is a wasteful number, since it uses less digits than its factorization.

132444052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13036 (or 13018 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 132444052000 its reverse (250444231), we get a palindrome (132694496231).

The spelling of 132444052000 in words is "one hundred thirty-two billion, four hundred forty-four million, fifty-two thousand".