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132126656 = 265873517
BaseRepresentation
bin1111110000000…
…01011111000000
3100012121201200212
413320001133000
5232311023111
621035533252
73163025624
oct770013700
9305551625
10132126656
1168644792
12382ba228
13214b176c
1413795184
15b8ed98b
hex7e017c0

132126656 has 28 divisors (see below), whose sum is σ = 262710168. Its totient is φ = 65932032.

The previous prime is 132126637. The next prime is 132126677. The reversal of 132126656 is 656621231.

132126656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35810 + ... + 39326.

It is an arithmetic number, because the mean of its divisors is an integer number (9382506).

Almost surely, 2132126656 is an apocalyptic number.

132126656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132126656 is a deficient number, since it is larger than the sum of its proper divisors (130583512).

132126656 is an equidigital number, since it uses as much as digits as its factorization.

132126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4106 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 132126656 is about 11494.6359663975. The cubic root of 132126656 is about 509.3271352066.

Adding to 132126656 its reverse (656621231), we get a palindrome (788747887).

The spelling of 132126656 in words is "one hundred thirty-two million, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 587 1174 2348 3517 4696 7034 9392 14068 18784 28136 37568 56272 112544 225088 2064479 4128958 8257916 16515832 33031664 66063328 132126656