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132555401440 = 25571115768531
BaseRepresentation
bin111101101110011101…
…0101110100011100000
3110200011000101002101121
41323130322232203200
54132433140321230
6140521202142024
712401563215220
oct1733472564340
9420130332347
10132555401440
1151242083050
1221834651914
13c666430aa7
1465b6a1c080
1536ac38477a
hex1edceae8e0

132555401440 has 192 divisors, whose sum is σ = 392928496128. Its totient is φ = 41052211200.

The previous prime is 132555401423. The next prime is 132555401443. The reversal of 132555401440 is 44104555231.

It is a junction number, because it is equal to n+sod(n) for n = 132555401396 and 132555401405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132555401443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1899975 + ... + 1968505.

It is an arithmetic number, because the mean of its divisors is an integer number (2046502584).

Almost surely, 2132555401440 is an apocalyptic number.

132555401440 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 132555401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196464248064).

132555401440 is an abundant number, since it is smaller than the sum of its proper divisors (260373094688).

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

132555401440 is a wasteful number, since it uses less digits than its factorization.

132555401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68721 (or 68713 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 132555401440 its reverse (44104555231), we get a palindrome (176659956671).

The spelling of 132555401440 in words is "one hundred thirty-two billion, five hundred fifty-five million, four hundred one thousand, four hundred forty".