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132021533000 = 23537212912087
BaseRepresentation
bin111101011110100011…
…0001011100101001000
3110121202210210202120102
41322331012023211020
54130340003024000
6140352211344532
712352421341400
oct1727506134510
9417683722512
10132021533000
1150a98793865
12217058b2148
13c5ac94acc6
146565b6b800
15367a57b3d5
hex1ebd18b948

132021533000 has 192 divisors, whose sum is σ = 359818692480. Its totient is φ = 45207792000.

The previous prime is 132021532967. The next prime is 132021533051. The reversal of 132021533000 is 335120231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 63257957 + ... + 63260043.

It is an arithmetic number, because the mean of its divisors is an integer number (1874055690).

Almost surely, 2132021533000 is an apocalyptic number.

132021533000 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 132021533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179909346240).

132021533000 is an abundant number, since it is smaller than the sum of its proper divisors (227797159480).

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

132021533000 is a wasteful number, since it uses less digits than its factorization.

132021533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 132021533000 its reverse (335120231), we get a palindrome (132356653231).

The spelling of 132021533000 in words is "one hundred thirty-two billion, twenty-one million, five hundred thirty-three thousand".