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135265440 = 2535281803
BaseRepresentation
bin10000000111111…
…11110010100000
3100102112012022010
420003333302200
5234111443230
621231112520
73231510612
oct1003776240
9312465263
10135265440
116a398a22
1239372740
132204032b
1413d70db2
15bd1d9b0
hex80ffca0

135265440 has 48 divisors (see below), whose sum is σ = 426087648. Its totient is φ = 36070656.

The previous prime is 135265439. The next prime is 135265477. The reversal of 135265440 is 44562531.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135265398 and 135265407.

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, 140422 + ... + 141381.

It is an arithmetic number, because the mean of its divisors is an integer number (8876826).

Almost surely, 2135265440 is an apocalyptic number.

135265440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135265440 is an abundant number, since it is smaller than the sum of its proper divisors (290822208).

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

135265440 is a wasteful number, since it uses less digits than its factorization.

135265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281821 (or 281813 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 135265440 is about 11630.3671481170. The cubic root of 135265440 is about 513.3287831534.

The spelling of 135265440 in words is "one hundred thirty-five million, two hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 281803 563606 845409 1127212 1409015 1690818 2254424 2818030 3381636 4227045 4508848 5636060 6763272 8454090 9017696 11272120 13526544 16908180 22544240 27053088 33816360 45088480 67632720 135265440