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132134184 = 233272134367
BaseRepresentation
bin1111110000000…
…11010100101000
3100012122010000200
413320003110220
5232311243214
621040032200
73163056600
oct770032450
9305563020
10132134184
116864a406
1238302660
13214b5010
1413797c00
15b900d09
hex7e03528

132134184 has 288 divisors, whose sum is σ = 465585120. Its totient is φ = 33530112.

The previous prime is 132134137. The next prime is 132134201. The reversal of 132134184 is 481431231.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1972119 + ... + 1972185.

It is an arithmetic number, because the mean of its divisors is an integer number (1616615).

Almost surely, 2132134184 is an apocalyptic number.

132134184 is a gapful number since it is divisible by the number (14) 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 132134184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232792560).

132134184 is an abundant number, since it is smaller than the sum of its proper divisors (333450936).

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

132134184 is a wasteful number, since it uses less digits than its factorization.

132134184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 132134184 is about 11494.9634188196. The cubic root of 132134184 is about 509.3368081017.

The spelling of 132134184 in words is "one hundred thirty-two million, one hundred thirty-four thousand, one hundred eighty-four".