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134728440 = 233572112083
BaseRepresentation
bin10000000011111…
…00101011111000
3100101111220200020
420001330223320
5233442302230
621211410440
73224113200
oct1001745370
9311456606
10134728440
116a061520
1239153a20
1321bb2a92
1413c71400
15bc64810
hex807caf8

134728440 has 192 divisors, whose sum is σ = 513164160. Its totient is φ = 27982080.

The previous prime is 134728427. The next prime is 134728453. The reversal of 134728440 is 44827431.

It is an interprime number because it is at equal distance from previous prime (134728427) and next prime (134728453).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 63639 + ... + 65721.

It is an arithmetic number, because the mean of its divisors is an integer number (2672730).

Almost surely, 2134728440 is an apocalyptic number.

134728440 is a gapful number since it is divisible by the number (10) 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 134728440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256582080).

134728440 is an abundant number, since it is smaller than the sum of its proper divisors (378435720).

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

134728440 is a wasteful number, since it uses less digits than its factorization.

134728440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 134728440 is about 11607.2580741534. The cubic root of 134728440 is about 512.6485819443.

It can be divided in two parts, 13472 and 8440, that added together give a palindrome (21912).

The spelling of 134728440 in words is "one hundred thirty-four million, seven hundred twenty-eight thousand, four hundred forty".