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132128856 = 23328812083
BaseRepresentation
bin1111110000000…
…10000001011000
3100012121211201100
413320002001120
5232311110411
621035551400
73163035216
oct770020130
9305554640
10132128856
1168646402
12382bb560
13214b2772
1413795cb6
15b8ee456
hex7e02058

132128856 has 48 divisors (see below), whose sum is σ = 358427160. Its totient is φ = 43971840.

The previous prime is 132128849. The next prime is 132128861. The reversal of 132128856 is 658821231.

It is a happy number.

132128856 is a `hidden beast` number, since 1 + 321 + 288 + 56 = 666.

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 132128856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62391 + ... + 64473.

Almost surely, 2132128856 is an apocalyptic number.

It is an amenable number.

132128856 is an abundant number, since it is smaller than the sum of its proper divisors (226298304).

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

132128856 is a wasteful number, since it uses less digits than its factorization.

132128856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2969 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 132128856 is about 11494.7316628097. The cubic root of 132128856 is about 509.3299620736.

The spelling of 132128856 in words is "one hundred thirty-two million, one hundred twenty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 881 1762 2083 2643 3524 4166 5286 6249 7048 7929 8332 10572 12498 15858 16664 18747 21144 24996 31716 37494 49992 63432 74988 149976 1835123 3670246 5505369 7340492 11010738 14680984 16516107 22021476 33032214 44042952 66064428 132128856