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132497856 = 263461419
BaseRepresentation
bin1111110010111…
…00000111000000
3100020022120220000
413321130013000
5232404412411
621051520000
73166133061
oct771340700
9306276800
10132497856
1168878667
1238459000
13215b16ca
1413850568
15b973956
hex7e5c1c0

132497856 has 140 divisors (see below), whose sum is σ = 400156680. Its totient is φ = 43338240.

The previous prime is 132497837. The next prime is 132497863. The reversal of 132497856 is 658794231.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (362880) is a multiple of the sum of its prime factors (504).

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 19 ways as a sum of consecutive naturals, for example, 316015 + ... + 316433.

It is an arithmetic number, because the mean of its divisors is an integer number (2858262).

Almost surely, 2132497856 is an apocalyptic number.

132497856 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 132497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200078340).

132497856 is an abundant number, since it is smaller than the sum of its proper divisors (267658824).

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

132497856 is an equidigital number, since it uses as much as digits as its factorization.

132497856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 132497856 is about 11510.7713034358. The cubic root of 132497856 is about 509.8036614480.

The spelling of 132497856 in words is "one hundred thirty-two million, four hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 144 162 183 192 216 244 288 324 366 419 432 488 549 576 648 732 838 864 976 1098 1257 1296 1464 1647 1676 1728 1952 2196 2514 2592 2928 3294 3352 3771 3904 4392 4941 5028 5184 5856 6588 6704 7542 8784 9882 10056 11313 11712 13176 13408 15084 17568 19764 20112 22626 25559 26352 26816 30168 33939 35136 39528 40224 45252 51118 52704 60336 67878 76677 79056 80448 90504 102236 105408 120672 135756 153354 158112 181008 204472 230031 241344 271512 306708 316224 362016 408944 460062 543024 613416 690093 724032 817888 920124 1086048 1226832 1380186 1635776 1840248 2070279 2172096 2453664 2760372 3680496 4140558 4907328 5520744 7360992 8281116 11041488 14721984 16562232 22082976 33124464 44165952 66248928 132497856