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134813480148 = 223210133696761
BaseRepresentation
bin111110110001110000…
…0100111010011010100
3110212222101100101001100
41331203200213103110
54202044222331043
6141533224430100
712511542450114
oct1754340472324
9425871311040
10134813480148
11521a0770aa6
1222164918330
13c9361b8a39
14674c897044
153790724cd3
hex1f638274d4

134813480148 has 36 divisors (see below), whose sum is σ = 341115016788. Its totient is φ = 44893453440.

The previous prime is 134813480129. The next prime is 134813480237. The reversal of 134813480148 is 841084318431.

134813480148 is a `hidden beast` number, since 13 + 4 + 8 + 13 + 480 + 148 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11351197764 + 123462282384 = 106542^2 + 351372^2 .

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

It is a super-3 number, since 3×1348134801483 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1811913 + ... + 1884848.

It is an arithmetic number, because the mean of its divisors is an integer number (9475417133).

Almost surely, 2134813480148 is an apocalyptic number.

134813480148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134813480148 is an abundant number, since it is smaller than the sum of its proper divisors (206301536640).

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

134813480148 is a wasteful number, since it uses less digits than its factorization.

134813480148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697784 (or 3697779 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

Adding to 134813480148 its reverse (841084318431), we get a palindrome (975897798579).

The spelling of 134813480148 in words is "one hundred thirty-four billion, eight hundred thirteen million, four hundred eighty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1013 2026 3039 4052 6078 9117 12156 18234 36468 3696761 7393522 11090283 14787044 22180566 33270849 44361132 66541698 133083396 3744818893 7489637786 11234456679 14979275572 22468913358 33703370037 44937826716 67406740074 134813480148