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135134420004 = 22327481501769
BaseRepresentation
bin111110111011010100…
…0111001110000100100
3110220210202020210202200
41331312220321300210
54203223402420004
6142025131334500
712522520421613
oct1756650716044
9426722223680
10135134420004
1152345947951
12222342b1430
13c98783898c
14677d35b87a
1537ad9bd239
hex1f76a39c24

135134420004 has 36 divisors (see below), whose sum is σ = 341636125740. Its totient is φ = 45038695680.

The previous prime is 135134419991. The next prime is 135134420017. The reversal of 135134420004 is 400024431531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135134419991) and next prime (135134420017).

It can be written as a sum of positive squares in 2 ways, for example, as 68623041600 + 66511378404 = 261960^2 + 257898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1351344200042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135134420004.

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, 18432 + ... + 520200.

Almost surely, 2135134420004 is an apocalyptic number.

It is an amenable number.

135134420004 is an abundant number, since it is smaller than the sum of its proper divisors (206501705736).

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

135134420004 is a wasteful number, since it uses less digits than its factorization.

135134420004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509260 (or 509255 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 135134420004 its reverse (400024431531), we get a palindrome (535158851535).

The spelling of 135134420004 in words is "one hundred thirty-five billion, one hundred thirty-four million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 7481 14962 22443 29924 44886 67329 89772 134658 269316 501769 1003538 1505307 2007076 3010614 4515921 6021228 9031842 18063684 3753733889 7507467778 11261201667 15014935556 22522403334 33783605001 45044806668 67567210002 135134420004