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134399675520 = 2733511264279
BaseRepresentation
bin111110100101011011…
…0000100110010000000
3110211220112200220211000
41331022312010302000
54200222304104040
6141424203252000
712465356251455
oct1751266046200
9424815626730
10134399675520
1151aa9127500
122206a21a000
13c89b552c26
14670d93b82c
153769236130
hex1f4ad84c80

134399675520 has 384 divisors, whose sum is σ = 523213488000. Its totient is φ = 32581232640.

The previous prime is 134399675513. The next prime is 134399675551. The reversal of 134399675520 is 25576993431.

134399675520 is a `hidden beast` number, since 1 + 3 + 43 + 9 + 9 + 6 + 75 + 520 = 666.

134399675520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2058741 + ... + 2123019.

It is an arithmetic number, because the mean of its divisors is an integer number (1362535125).

Almost surely, 2134399675520 is an apocalyptic number.

134399675520 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 134399675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261606744000).

134399675520 is an abundant number, since it is smaller than the sum of its proper divisors (388813812480).

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

134399675520 is a wasteful number, since it uses less digits than its factorization.

134399675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64329 (or 64300 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 134399675520 in words is "one hundred thirty-four billion, three hundred ninety-nine million, six hundred seventy-five thousand, five hundred twenty".