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132772518150140 = 22511191271731445713
BaseRepresentation
bin11110001100000110000010…
…110001111011111111111100
3122102002221002002001020221102
4132030012002301323333330
5114400321104121301030
61150214504111552232
736652332526144361
oct3614060261737774
9572087062036842
10132772518150140
113933a56613a1a0
1212a8425382b678
1359115193166ab
1424b031d182468
151053ab7d52c45
hex78c182c7bffc

132772518150140 has 192 divisors, whose sum is σ = 324565337456640. Its totient is φ = 45117317468160.

The previous prime is 132772518150127. The next prime is 132772518150149. The reversal of 132772518150140 is 41051815277231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132772518150149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91115924 + ... + 92561636.

It is an arithmetic number, because the mean of its divisors is an integer number (1690444465920).

Almost surely, 2132772518150140 is an apocalyptic number.

132772518150140 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 132772518150140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162282668728320).

132772518150140 is an abundant number, since it is smaller than the sum of its proper divisors (191792819306500).

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

132772518150140 is a wasteful number, since it uses less digits than its factorization.

132772518150140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446052 (or 1446050 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 47.

The spelling of 132772518150140 in words is "one hundred thirty-two trillion, seven hundred seventy-two billion, five hundred eighteen million, one hundred fifty thousand, one hundred forty".