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132161856 = 2631813803
BaseRepresentation
bin1111110000010…
…10000101000000
3100012200111222120
413320022011000
5232313134411
621040404240
73163233351
oct770120500
9305614876
10132161856
1168669182
1238316680
13214c47a8
14137a3d28
15b909106
hex7e0a140

132161856 has 56 divisors (see below), whose sum is σ = 351702624. Its totient is φ = 43799040.

The previous prime is 132161851. The next prime is 132161857. The reversal of 132161856 is 658161231.

132161856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132161851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32851 + ... + 36653.

It is an arithmetic number, because the mean of its divisors is an integer number (6280404).

Almost surely, 2132161856 is an apocalyptic number.

132161856 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 132161856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175851312).

132161856 is an abundant number, since it is smaller than the sum of its proper divisors (219540768).

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

132161856 is a wasteful number, since it uses less digits than its factorization.

132161856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3989 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 132161856 is about 11496.1670134006. The cubic root of 132161856 is about 509.3723613147.

The spelling of 132161856 in words is "one hundred thirty-two million, one hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1448 2172 2896 3803 4344 5792 7606 8688 11409 11584 15212 17376 22818 30424 34752 45636 60848 91272 121696 182544 243392 365088 688343 730176 1376686 2065029 2753372 4130058 5506744 8260116 11013488 16520232 22026976 33040464 44053952 66080928 132161856