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134813408148 = 223229129131617
BaseRepresentation
bin111110110001110000…
…0010101101110010100
3110212222101012201021200
41331203200111232110
54202044213030043
6141533223112500
712511542030156
oct1754340255624
9425871181250
10134813408148
11521a07219a1
12221648a2730
13c936192033
14674c878ad6
15379070d7d3
hex1f63815b94

134813408148 has 36 divisors (see below), whose sum is σ = 352529317140. Its totient is φ = 43388222976.

The previous prime is 134813408129. The next prime is 134813408209. The reversal of 134813408148 is 841804318431.

134813408148 is a `hidden beast` number, since 13 + 481 + 3 + 40 + 81 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60569147664 + 74244260484 = 246108^2 + 272478^2 .

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

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, 64564765 + ... + 64566852.

Almost surely, 2134813408148 is an apocalyptic number.

134813408148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134813408148 is an abundant number, since it is smaller than the sum of its proper divisors (217715908992).

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

134813408148 is a wasteful number, since it uses less digits than its factorization.

134813408148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129131656 (or 129131651 counting only the distinct ones).

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

The spelling of 134813408148 in words is "one hundred thirty-four billion, eight hundred thirteen million, four hundred eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 129131617 258263234 387394851 516526468 774789702 1162184553 1549579404 2324369106 3744816893 4648738212 7489633786 11234450679 14979267572 22468901358 33703352037 44937802716 67406704074 134813408148