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135134624 = 25832613
BaseRepresentation
bin10000000110111…
…11110110100000
3100102021112212002
420003133312200
5234043301444
621224223132
73230424332
oct1003376640
9312245762
10135134624
116a309709
123930aaa8
1321cc5921
1413d39452
15bce4d4e
hex80dfda0

135134624 has 36 divisors (see below), whose sum is σ = 269729586. Its totient is φ = 66644352.

The previous prime is 135134621. The next prime is 135134627. The reversal of 135134624 is 426431531.

135134624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135134621) and next prime (135134627).

It can be written as a sum of positive squares in only one way, i.e., 135024400 + 110224 = 11620^2 + 332^2 .

It is a super-2 number, since 2×1351346242 = 36522733207242752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135134621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 220142 + ... + 220754.

Almost surely, 2135134624 is an apocalyptic number.

It is an amenable number.

135134624 is a deficient number, since it is larger than the sum of its proper divisors (134594962).

135134624 is an frugal number, since it uses more digits than its factorization.

135134624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 698 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 135134624 is about 11624.7418896077. The cubic root of 135134624 is about 513.1632486870.

The spelling of 135134624 in words is "one hundred thirty-five million, one hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 83 166 332 613 664 1226 1328 2452 2656 4904 6889 9808 13778 19616 27556 50879 55112 101758 110224 203516 220448 407032 814064 1628128 4222957 8445914 16891828 33783656 67567312 135134624