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132048189000 = 233253721331743
BaseRepresentation
bin111101011111010101…
…1110111011001001000
3110121211122222000201200
41322332223313121020
54130413314022000
6140355002544200
712353164041600
oct1727653673110
9417748860650
10132048189000
115100183a912
1221712808060
13c5b5321ba0
146569509c00
15367ca94500
hex1ebeaf7648

132048189000 has 1152 divisors, whose sum is σ = 577943009280. Its totient is φ = 26925696000.

The previous prime is 132048188953. The next prime is 132048189029. The reversal of 132048189000 is 981840231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 177722629 + ... + 177723371.

It is an arithmetic number, because the mean of its divisors is an integer number (501686640).

Almost surely, 2132048189000 is an apocalyptic number.

132048189000 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 132048189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288971504640).

132048189000 is an abundant number, since it is smaller than the sum of its proper divisors (445894820280).

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

132048189000 is a wasteful number, since it uses less digits than its factorization.

132048189000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 132048189000 in words is "one hundred thirty-two billion, forty-eight million, one hundred eighty-nine thousand".