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132138254502750 = 23533759661122099
BaseRepresentation
bin11110000010110111010101…
…101110001000101101011110
3122022212021221011002120101210
4132002313111232020231132
5114304423121123042000
61145011250500445250
736555450062121546
oct3602672556105536
9568767834076353
10132138254502750
1139115578914241
12129a13420a9826
135896778b92222
14248b750510326
151042344e08350
hex782dd5b88b5e

132138254502750 has 256 divisors, whose sum is σ = 344996226432000. Its totient is φ = 33652162368000.

The previous prime is 132138254502721. The next prime is 132138254502773. The reversal of 132138254502750 is 57205452831231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132138254502750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1082161201 + ... + 1082283299.

It is an arithmetic number, because the mean of its divisors is an integer number (1347641509500).

Almost surely, 2132138254502750 is an apocalyptic number.

132138254502750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132138254502750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172498113216000).

132138254502750 is an abundant number, since it is smaller than the sum of its proper divisors (212857971929250).

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

132138254502750 is a wasteful number, since it uses less digits than its factorization.

132138254502750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122876 (or 122866 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 132138254502750 in words is "one hundred thirty-two trillion, one hundred thirty-eight billion, two hundred fifty-four million, five hundred two thousand, seven hundred fifty".