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134969300928 = 26327112377477
BaseRepresentation
bin111110110110011001…
…1000001011111000000
3110220101020112212222100
41331230303001133000
54202404120112203
6142000512310400
712515444062110
oct1755463013700
9426336485870
10134969300928
1152270719500
12221a8b42400
13c95c575197
146765459040
15379e253ea3
hex1f6ccc17c0

134969300928 has 504 divisors, whose sum is σ = 499180668896. Its totient is φ = 34104913920.

The previous prime is 134969300861. The next prime is 134969300941. The reversal of 134969300928 is 829003969431.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1349693009282 (a number of 23 digits) contains 22 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 71 ways as a sum of consecutive naturals, for example, 18047526 + ... + 18055002.

Almost surely, 2134969300928 is an apocalyptic number.

134969300928 is a gapful number since it is divisible by the number (18) 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 134969300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249590334448).

134969300928 is an abundant number, since it is smaller than the sum of its proper divisors (364211367968).

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

134969300928 is a wasteful number, since it uses less digits than its factorization.

134969300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 134969300928 in words is "one hundred thirty-four billion, nine hundred sixty-nine million, three hundred thousand, nine hundred twenty-eight".