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135488880 = 24325188179
BaseRepresentation
bin10000001001101…
…10010101110000
3100102221112210200
420010312111300
5234141121010
621235555200
73233431212
oct1004662560
9312845720
10135488880
116a53088a
123945bb00
13220bac47
1413dcc5b2
15bd64cc0
hex8136570

135488880 has 60 divisors (see below), whose sum is σ = 455019240. Its totient is φ = 36130176.

The previous prime is 135488863. The next prime is 135488891. The reversal of 135488880 is 88884531.

135488880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 93370 + ... + 94809.

It is an arithmetic number, because the mean of its divisors is an integer number (7583654).

Almost surely, 2135488880 is an apocalyptic number.

135488880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135488880 is an abundant number, since it is smaller than the sum of its proper divisors (319530360).

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

135488880 is a wasteful number, since it uses less digits than its factorization.

135488880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188198 (or 188189 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 135488880 is about 11639.9690721239. The cubic root of 135488880 is about 513.6112773021.

The spelling of 135488880 in words is "one hundred thirty-five million, four hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 188179 376358 564537 752716 940895 1129074 1505432 1693611 1881790 2258148 2822685 3010864 3387222 3763580 4516296 5645370 6774444 7527160 8468055 9032592 11290740 13548888 15054320 16936110 22581480 27097776 33872220 45162960 67744440 135488880