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135155460 = 223511204781
BaseRepresentation
bin10000000111001…
…00111100000100
3100102022121102210
420003210330010
5234044433320
621224503420
73230542146
oct1003447404
9312277383
10135155460
116a323330
123931ab70
132200225b
1413d42c96
15bceb0e0
hex80e4f04

135155460 has 48 divisors (see below), whose sum is σ = 412840512. Its totient is φ = 32764800.

The previous prime is 135155441. The next prime is 135155477. The reversal of 135155460 is 64551531.

135155460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101731 + ... + 103050.

It is an arithmetic number, because the mean of its divisors is an integer number (8600844).

Almost surely, 2135155460 is an apocalyptic number.

135155460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135155460 is an abundant number, since it is smaller than the sum of its proper divisors (277685052).

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

135155460 is a wasteful number, since it uses less digits than its factorization.

135155460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204804 (or 204802 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 135155460 is about 11625.6380470063. The cubic root of 135155460 is about 513.1896216959.

The spelling of 135155460 in words is "one hundred thirty-five million, one hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 204781 409562 614343 819124 1023905 1228686 2047810 2252591 2457372 3071715 4095620 4505182 6143430 6757773 9010364 11262955 12286860 13515546 22525910 27031092 33788865 45051820 67577730 135155460