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134352512 = 277231691
BaseRepresentation
bin10000000001000…
…00111010000000
3100100210210222222
420000200322000
5233343240022
621155350212
73220656200
oct1000407200
9310723888
10134352512
1169925038
1238bb2368
1321ab0938
1413bb4400
15bbdd242
hex8020e80

134352512 has 96 divisors (see below), whose sum is σ = 321863040. Its totient is φ = 55641600.

The previous prime is 134352497. The next prime is 134352521. The reversal of 134352512 is 215253431.

It is a happy number.

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, 194087 + ... + 194777.

It is an arithmetic number, because the mean of its divisors is an integer number (3352740).

Almost surely, 2134352512 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 134352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160931520).

134352512 is an abundant number, since it is smaller than the sum of its proper divisors (187510528).

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

134352512 is an equidigital number, since it uses as much as digits as its factorization.

134352512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 731 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 134352512 is about 11591.0531014227. The cubic root of 134352512 is about 512.1713293808.

The spelling of 134352512 in words is "one hundred thirty-four million, three hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 392 434 448 496 691 784 868 896 992 1382 1519 1568 1736 1984 2764 3038 3136 3472 3968 4837 5528 6076 6272 6944 9674 11056 12152 13888 19348 21421 22112 24304 27776 33859 38696 42842 44224 48608 67718 77392 85684 88448 97216 135436 149947 154784 171368 194432 270872 299894 309568 342736 541744 599788 619136 685472 1049629 1083488 1199576 1370944 2099258 2166976 2399152 2741888 4198516 4333952 4798304 8397032 9596608 16794064 19193216 33588128 67176256 134352512