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132426144 = 2533153271
BaseRepresentation
bin1111110010010…
…10100110100000
3100020011221112000
413321022212200
5232400114034
621050204000
73165414024
oct771124640
9306157460
10132426144
11688297a4
1238423600
1321587b86
1413832384
15b95c599
hex7e4a9a0

132426144 has 48 divisors (see below), whose sum is σ = 386245440. Its totient is φ = 44141760.

The previous prime is 132426131. The next prime is 132426167. The reversal of 132426144 is 441624231.

It is a happy number.

132426144 is a `hidden beast` number, since 1 + 3 + 2 + 42 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1324261442 = 35073367229417472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 75772 + ... + 77499.

It is an arithmetic number, because the mean of its divisors is an integer number (8046780).

Almost surely, 2132426144 is an apocalyptic number.

It is an amenable number.

132426144 is an abundant number, since it is smaller than the sum of its proper divisors (253819296).

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

132426144 is a wasteful number, since it uses less digits than its factorization.

132426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153290 (or 153276 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 132426144 is about 11507.6558864088. The cubic root of 132426144 is about 509.7116709336.

The spelling of 132426144 in words is "one hundred thirty-two million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 153271 306542 459813 613084 919626 1226168 1379439 1839252 2452336 2758878 3678504 4138317 4904672 5517756 7357008 8276634 11035512 14714016 16553268 22071024 33106536 44142048 66213072 132426144