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134728161750 = 232537131315023
BaseRepresentation
bin111110101111001101…
…1001001100111010110
3110212202102210202012200
41331132123021213112
54201410402134000
6141520540025330
712506455323330
oct1753633114726
9425672722180
10134728161750
1152157598026
1222140232246
13c921615990
146741408450
153787ec0500
hex1f5e6c99d6

134728161750 has 384 divisors, whose sum is σ = 451887980544. Its totient is φ = 28203552000.

The previous prime is 134728161731. The next prime is 134728161767. The reversal of 134728161750 is 57161827431.

134728161750 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 28 + 1 + 617 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 134728161696 and 134728161705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26819739 + ... + 26824761.

It is an arithmetic number, because the mean of its divisors is an integer number (1176791616).

Almost surely, 2134728161750 is an apocalyptic number.

134728161750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134728161750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225943990272).

134728161750 is an abundant number, since it is smaller than the sum of its proper divisors (317159818794).

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

134728161750 is a wasteful number, since it uses less digits than its factorization.

134728161750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 134728161750 in words is "one hundred thirty-four billion, seven hundred twenty-eight million, one hundred sixty-one thousand, seven hundred fifty".