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134169701120 = 2857131767757
BaseRepresentation
bin111110011110100100…
…0110010101100000000
3110211022111222000020122
41330331020302230000
54144234420413440
6141345310155412
712456564433250
oct1747510625400
9424274860218
10134169701120
11519a0331314
12220051b2b68
13c862a024c0
1466cb195960
153753e5a7b5
hex1f3d232b00

134169701120 has 288 divisors, whose sum is σ = 418815992448. Its totient is φ = 39964114944.

The previous prime is 134169701119. The next prime is 134169701131. The reversal of 134169701120 is 21107961431.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1946282 + ... + 2014038.

It is an arithmetic number, because the mean of its divisors is an integer number (1454222196).

Almost surely, 2134169701120 is an apocalyptic number.

134169701120 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 134169701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209407996224).

134169701120 is an abundant number, since it is smaller than the sum of its proper divisors (284646291328).

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

134169701120 is a wasteful number, since it uses less digits than its factorization.

134169701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67815 (or 67801 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 134169701120 in words is "one hundred thirty-four billion, one hundred sixty-nine million, seven hundred one thousand, one hundred twenty".