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132124144 = 2423477639
BaseRepresentation
bin1111110000000…
…00110111110000
3100012121121020211
413320000313300
5232310433034
621035513504
73163015405
oct770006760
9305547224
10132124144
1168642909
12382b8894
13214b0589
14137942ac
15b8ecd64
hex7e00df0

132124144 has 40 divisors (see below), whose sum is σ = 272839680. Its totient is φ = 61837248.

The previous prime is 132124129. The next prime is 132124163. The reversal of 132124144 is 441421231.

It is a happy number.

It is a super-3 number, since 3×1321241443 (a number of 25 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 13477 + ... + 21115.

It is an arithmetic number, because the mean of its divisors is an integer number (6820992).

Almost surely, 2132124144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136419840).

132124144 is an abundant number, since it is smaller than the sum of its proper divisors (140715536).

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

132124144 is a wasteful number, since it uses less digits than its factorization.

132124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717 (or 7711 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 132124144 is about 11494.5266975200. The cubic root of 132124144 is about 509.3239074000.

Adding to 132124144 its reverse (441421231), we get a palindrome (573545375).

The spelling of 132124144 in words is "one hundred thirty-two million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 752 1081 2162 4324 7639 8648 15278 17296 30556 61112 122224 175697 351394 359033 702788 718066 1405576 1436132 2811152 2872264 5744528 8257759 16515518 33031036 66062072 132124144