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135452672 = 21119592
BaseRepresentation
bin10000001001011…
…01100000000000
3100102212201010122
420010231200000
5234133441142
621235115412
73233220515
oct1004554000
9312781118
10135452672
116a506663
1239442b68
13220a7614
1413dbd30c
15bd591d2
hex812d800

135452672 has 72 divisors (see below), whose sum is σ = 290007900. Its totient is φ = 63074304.

The previous prime is 135452659. The next prime is 135452677. The reversal of 135452672 is 276254531.

135452672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (50400) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135452677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2295779 + ... + 2295837.

Almost surely, 2135452672 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 135452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145003950).

135452672 is an abundant number, since it is smaller than the sum of its proper divisors (154555228).

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

135452672 is an frugal number, since it uses more digits than its factorization.

135452672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 80 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 135452672 is about 11638.4136376054. The cubic root of 135452672 is about 513.5655207943.

The spelling of 135452672 in words is "one hundred thirty-five million, four hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 256 304 472 512 608 944 1024 1121 1216 1888 2048 2242 2432 3481 3776 4484 4864 6962 7552 8968 9728 13924 15104 17936 19456 27848 30208 35872 38912 55696 60416 66139 71744 111392 120832 132278 143488 222784 264556 286976 445568 529112 573952 891136 1058224 1147904 1782272 2116448 2295808 3564544 4232896 7129088 8465792 16931584 33863168 67726336 135452672