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135134240 = 2557910691
BaseRepresentation
bin10000000110111…
…11110000100000
3100102021112022212
420003133300200
5234043243430
621224221252
73230423243
oct1003376040
9312245285
10135134240
116a30939a
123930a828
1321cc56b7
1413d3925a
15bce4b95
hex80dfc20

135134240 has 48 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 53364480.

The previous prime is 135134227. The next prime is 135134257. The reversal of 135134240 is 42431531.

It is a super-2 number, since 2×1351342402 = 36522525640755200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7295 + ... + 17985.

It is an arithmetic number, because the mean of its divisors is an integer number (6735960).

Almost surely, 2135134240 is an apocalyptic number.

135134240 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 135134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

135134240 is an abundant number, since it is smaller than the sum of its proper divisors (188191840).

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

135134240 is a wasteful number, since it uses less digits than its factorization.

135134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 135134240 is about 11624.7253731002. The cubic root of 135134240 is about 513.1627626164.

Adding to 135134240 its reverse (42431531), we get a palindrome (177565771).

The spelling of 135134240 in words is "one hundred thirty-five million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 3160 6320 10691 12640 21382 42764 53455 85528 106910 171056 213820 342112 427640 844589 855280 1689178 1710560 3378356 4222945 6756712 8445890 13513424 16891780 27026848 33783560 67567120 135134240