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132101856 = 25322292003
BaseRepresentation
bin1111101111110…
…11011011100000
3100012120110200100
413313323123200
5232304224411
621035222400
73162563415
oct767733340
9305513610
10132101856
1168628097
12382a7a00
13214a33a3
141378a10c
15b8e6456
hex7dfb6e0

132101856 has 72 divisors (see below), whose sum is σ = 377493480. Its totient is φ = 43819776.

The previous prime is 132101833. The next prime is 132101861. The reversal of 132101856 is 658101231.

It is a tau number, because it is divible by the number of its divisors (72).

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, 64951 + ... + 66953.

It is an arithmetic number, because the mean of its divisors is an integer number (5242965).

Almost surely, 2132101856 is an apocalyptic number.

132101856 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 132101856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188746740).

132101856 is an abundant number, since it is smaller than the sum of its proper divisors (245391624).

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

132101856 is a wasteful number, since it uses less digits than its factorization.

132101856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 132101856 is about 11493.5571517264. The cubic root of 132101856 is about 509.2952665342.

The spelling of 132101856 in words is "one hundred thirty-two million, one hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 687 916 1374 1832 2003 2061 2748 3664 4006 4122 5496 6009 7328 8012 8244 10992 12018 16024 16488 18027 21984 24036 32048 32976 36054 48072 64096 65952 72108 96144 144216 192288 288432 458687 576864 917374 1376061 1834748 2752122 3669496 4128183 5504244 7338992 8256366 11008488 14677984 16512732 22016976 33025464 44033952 66050928 132101856