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132156660480 = 28351323314779
BaseRepresentation
bin111101100010100100…
…1101001101100000000
3110122010020001221121220
41323011021221230000
54131124101113410
6140413435515040
712355652036145
oct1730511515400
9418106057556
10132156660480
1151057a98069
1221742bb8a80
13c6019405b0
146579aa43cc
15368736e070
hex1ec5269b00

132156660480 has 1152 divisors, whose sum is σ = 506352107520. Its totient is φ = 29098967040.

The previous prime is 132156660469. The next prime is 132156660481. The reversal of 132156660480 is 84066651231.

132156660480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132156660481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1672869081 + ... + 1672869159.

It is an arithmetic number, because the mean of its divisors is an integer number (439541760).

Almost surely, 2132156660480 is an apocalyptic number.

132156660480 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 132156660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253176053760).

132156660480 is an abundant number, since it is smaller than the sum of its proper divisors (374195447040).

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

132156660480 is a wasteful number, since it uses less digits than its factorization.

132156660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 132156660480 in words is "one hundred thirty-two billion, one hundred fifty-six million, six hundred sixty thousand, four hundred eighty".