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134132328 = 23331156453
BaseRepresentation
bin1111111111010…
…11001001101000
3100100101121222000
413333223021220
5233314213303
621150531000
73216051231
oct777531150
9310347860
10134132328
1169794670
1238b06a60
1321a34655
1413b58088
15bb97da3
hex7feb268

134132328 has 64 divisors (see below), whose sum is σ = 406468800. Its totient is φ = 40645440.

The previous prime is 134132309. The next prime is 134132357. The reversal of 134132328 is 823231431.

134132328 is a `hidden beast` number, since 13 + 413 + 232 + 8 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25851 + ... + 30602.

It is an arithmetic number, because the mean of its divisors is an integer number (6351075).

Almost surely, 2134132328 is an apocalyptic number.

134132328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134132328 is an abundant number, since it is smaller than the sum of its proper divisors (272336472).

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

134132328 is a wasteful number, since it uses less digits than its factorization.

134132328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56479 (or 56469 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 134132328 is about 11581.5511914424. The cubic root of 134132328 is about 511.8913852448.

Adding to 134132328 its reverse (823231431), we get a palindrome (957363759).

The spelling of 134132328 in words is "one hundred thirty-four million, one hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 56453 112906 169359 225812 338718 451624 508077 620983 677436 1016154 1241966 1354872 1524231 1862949 2032308 2483932 3048462 3725898 4064616 4967864 5588847 6096924 7451796 11177694 12193848 14903592 16766541 22355388 33533082 44710776 67066164 134132328