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132637120 = 2657211769
BaseRepresentation
bin1111110011111…
…10000111000000
3100020120122220221
413321332013000
5232423341440
621054512424
73200253100
oct771760700
9306518827
10132637120
1168963260
1238505714
132162cc05
1413889200
15b99ed4a
hex7e7e1c0

132637120 has 168 divisors, whose sum is σ = 401330160. Its totient is φ = 41287680.

The previous prime is 132637079. The next prime is 132637123. The reversal of 132637120 is 21736231.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132637123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172096 + ... + 172864.

It is an arithmetic number, because the mean of its divisors is an integer number (2388870).

Almost surely, 2132637120 is an apocalyptic number.

132637120 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 132637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200665080).

132637120 is an abundant number, since it is smaller than the sum of its proper divisors (268693040).

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

132637120 is a wasteful number, since it uses less digits than its factorization.

132637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 132637120 is about 11516.8190052636. The cubic root of 132637120 is about 509.9822113493.

The spelling of 132637120 in words is "one hundred thirty-two million, six hundred thirty-seven thousand, one hundred twenty".