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132238656 = 263511773
BaseRepresentation
bin1111110000111…
…00110101000000
3100012211102100000
413320130311000
5232323114111
621042200000
73164003304
oct770346500
9305742300
10132238656
1168710950
1238353000
1321520734
14137c3d04
15b921c56
hex7e1cd40

132238656 has 168 divisors, whose sum is σ = 429365664. Its totient is φ = 40020480.

The previous prime is 132238649. The next prime is 132238669. The reversal of 132238656 is 656832231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132238656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170686 + ... + 171458.

It is an arithmetic number, because the mean of its divisors is an integer number (2555748).

Almost surely, 2132238656 is an apocalyptic number.

132238656 is a gapful number since it is divisible by the number (16) 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 132238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214682832).

132238656 is an abundant number, since it is smaller than the sum of its proper divisors (297127008).

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

132238656 is an equidigital number, since it uses as much as digits as its factorization.

132238656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 789 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 132238656 is about 11499.5067720316. The cubic root of 132238656 is about 509.4710085931.

The spelling of 132238656 in words is "one hundred thirty-two million, two hundred thirty-eight thousand, six hundred fifty-six".