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134725690944 = 26321359330341
BaseRepresentation
bin111110101111001000…
…1101110011001000000
3110212202021011012220100
41331132101232121000
54201404234102234
6141520411042400
712506425322655
oct1753621563100
9425667135810
10134725690944
115215615a739
122213b440400
13c920c5c170
146740d63c2c
153787b83399
hex1f5e46e640

134725690944 has 168 divisors, whose sum is σ = 416587042872. Its totient is φ = 41382789120.

The previous prime is 134725690943. The next prime is 134725690973. The reversal of 134725690944 is 449096527431.

134725690944 is a `hidden beast` number, since 1 + 3 + 4 + 72 + 569 + 0 + 9 + 4 + 4 = 666.

134725690944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 681836544 + 134043854400 = 26112^2 + 366120^2 .

It is a super-2 number, since 2×1347256909442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134725690943) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4425214 + ... + 4455554.

It is an arithmetic number, because the mean of its divisors is an integer number (2479684779).

Almost surely, 2134725690944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134725690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208293521436).

134725690944 is an abundant number, since it is smaller than the sum of its proper divisors (281861351928).

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

134725690944 is a wasteful number, since it uses less digits than its factorization.

134725690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30965 (or 30952 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 134725690944 in words is "one hundred thirty-four billion, seven hundred twenty-five million, six hundred ninety thousand, nine hundred forty-four".