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134724864 = 283172607
BaseRepresentation
bin10000000011110…
…11110100000000
3100101111201202210
420001323310000
5233442143424
621211342120
73224066601
oct1001736400
9311451683
10134724864
116a05986a
1239151940
1321bb1271
1413c6dda8
15bc63729
hex807bd00

134724864 has 108 divisors (see below), whose sum is σ = 381524864. Its totient is φ = 42196992.

The previous prime is 134724859. The next prime is 134724871. The reversal of 134724864 is 468427431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221649 + ... + 222255.

Almost surely, 2134724864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190762432).

134724864 is an abundant number, since it is smaller than the sum of its proper divisors (246800000).

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

134724864 is an equidigital number, since it uses as much as digits as its factorization.

134724864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 629 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 134724864 is about 11607.1040315834. The cubic root of 134724864 is about 512.6440462835.

It can be divided in two parts, 13472 and 4864, that added together give a triangular number (18336 = T191).

The spelling of 134724864 in words is "one hundred thirty-four million, seven hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 544 578 607 768 816 867 1088 1156 1214 1632 1734 1821 2176 2312 2428 3264 3468 3642 4352 4624 4856 6528 6936 7284 9248 9712 10319 13056 13872 14568 18496 19424 20638 27744 29136 30957 36992 38848 41276 55488 58272 61914 73984 77696 82552 110976 116544 123828 155392 165104 175423 221952 233088 247656 330208 350846 466176 495312 526269 660416 701692 990624 1052538 1320832 1403384 1981248 2105076 2641664 2806768 3962496 4210152 5613536 7924992 8420304 11227072 16840608 22454144 33681216 44908288 67362432 134724864