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135147744 = 2533156421
BaseRepresentation
bin10000000111000…
…11000011100000
3100102022012212000
420003203003200
5234044211434
621224404000
73230510514
oct1003430340
9312265760
10135147744
116a318556
1239316600
1321ccb8a4
1413d40144
15bce8b99
hex80e30e0

135147744 has 48 divisors (see below), whose sum is σ = 394183440. Its totient is φ = 45048960.

The previous prime is 135147709. The next prime is 135147763. The reversal of 135147744 is 447741531.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 135147699 and 135147708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77347 + ... + 79074.

It is an arithmetic number, because the mean of its divisors is an integer number (8212155).

Almost surely, 2135147744 is an apocalyptic number.

It is an amenable number.

135147744 is an abundant number, since it is smaller than the sum of its proper divisors (259035696).

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

135147744 is a wasteful number, since it uses less digits than its factorization.

135147744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156440 (or 156426 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 135147744 is about 11625.3061895160. The cubic root of 135147744 is about 513.1798555435.

The spelling of 135147744 in words is "one hundred thirty-five million, one hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 156421 312842 469263 625684 938526 1251368 1407789 1877052 2502736 2815578 3754104 4223367 5005472 5631156 7508208 8446734 11262312 15016416 16893468 22524624 33786936 45049248 67573872 135147744