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132351045445120 = 2952926313734937
BaseRepresentation
bin11110000101111101100001…
…000011001010011000000000
3122100121122011220210110012111
4132011331201003022120000
5114321414420113220440
61145253121513105104
736610022200232665
oct3605754103123000
9570548156713174
10132351045445120
1139197843850797
1212a166293b8194
1358b085b177148
142497b7929ba6c
151047b4b2864ea
hex785f610ca600

132351045445120 has 320 divisors, whose sum is σ = 329829794363520. Its totient is φ = 50873139724288.

The previous prime is 132351045445117. The next prime is 132351045445169. The reversal of 132351045445120 is 21544540153231.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 26807987292 + ... + 26807992228.

It is an arithmetic number, because the mean of its divisors is an integer number (1030718107386).

Almost surely, 2132351045445120 is an apocalyptic number.

132351045445120 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 132351045445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164914897181760).

132351045445120 is an abundant number, since it is smaller than the sum of its proper divisors (197478748918400).

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

132351045445120 is a wasteful number, since it uses less digits than its factorization.

132351045445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 132351045445120 its reverse (21544540153231), we get a palindrome (153895585598351).

The spelling of 132351045445120 in words is "one hundred thirty-two trillion, three hundred fifty-one billion, forty-five million, four hundred forty-five thousand, one hundred twenty".