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135061440 = 2635140689
BaseRepresentation
bin10000000110011…
…01111111000000
3100102010211110120
420003031333000
5234033431230
621222500240
73230001063
oct1003157700
9312124416
10135061440
116a269728
1239294680
1321c9b517
1413d1a8da
15bccd310
hex80cdfc0

135061440 has 56 divisors (see below), whose sum is σ = 428823120. Its totient is φ = 36016128.

The previous prime is 135061387. The next prime is 135061441. The reversal of 135061440 is 44160531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135061440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135061441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69385 + ... + 71304.

Almost surely, 2135061440 is an apocalyptic number.

135061440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135061440 is an abundant number, since it is smaller than the sum of its proper divisors (293761680).

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

135061440 is a wasteful number, since it uses less digits than its factorization.

135061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140709 (or 140699 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135061440 is about 11621.5936944982. The cubic root of 135061440 is about 513.0705951053.

Subtracting from 135061440 its reverse (44160531), we obtain a palindrome (90900909).

The spelling of 135061440 in words is "one hundred thirty-five million, sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 140689 281378 422067 562756 703445 844134 1125512 1406890 1688268 2110335 2251024 2813780 3376536 4220670 4502048 5627560 6753072 8441340 9004096 11255120 13506144 16882680 22510240 27012288 33765360 45020480 67530720 135061440