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132135993600 = 28352132323017
BaseRepresentation
bin111101100001111101…
…0110100000100000000
3110122001210011221222220
41323003322310010000
54131103303243400
6140411420531040
712355311261642
oct1730372640400
9418053157886
10132135993600
11510473617a6
12217380b0a80
13c5ca585780
146577044892
15368563a7a0
hex1ec3eb4100

132135993600 has 432 divisors, whose sum is σ = 490060217472. Its totient is φ = 31110266880.

The previous prime is 132135993589. The next prime is 132135993629. The reversal of 132135993600 is 6399531231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5729292 + ... + 5752308.

Almost surely, 2132135993600 is an apocalyptic number.

132135993600 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 132135993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245030108736).

132135993600 is an abundant number, since it is smaller than the sum of its proper divisors (357924223872).

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

132135993600 is a wasteful number, since it uses less digits than its factorization.

132135993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23082 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The spelling of 132135993600 in words is "one hundred thirty-two billion, one hundred thirty-five million, nine hundred ninety-three thousand, six hundred".