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134591569920 = 213345113359
BaseRepresentation
bin111110101011001001…
…0000110000000000000
3110212101220210011110000
41331112102012000000
54201120420214140
6141455220240000
712503206316403
oct1752622060000
9425356704400
10134591569920
1152097483615
1222102540000
13c8cc22ca02
14672b20dd3a
15377aedda30
hex1f56486000

134591569920 has 560 divisors, whose sum is σ = 488132140320. Its totient is φ = 35474374656.

The previous prime is 134591569843. The next prime is 134591569949. The reversal of 134591569920 is 29965195431.

134591569920 is a `hidden beast` number, since 1 + 3 + 4 + 59 + 1 + 569 + 9 + 20 = 666.

It is a super-2 number, since 2×1345915699202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 374906701 + ... + 374907059.

Almost surely, 2134591569920 is an apocalyptic number.

134591569920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134591569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244066070160).

134591569920 is an abundant number, since it is smaller than the sum of its proper divisors (353540570400).

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

134591569920 is an equidigital number, since it uses as much as digits as its factorization.

134591569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 134591569920 in words is "one hundred thirty-four billion, five hundred ninety-one million, five hundred sixty-nine thousand, nine hundred twenty".