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134191680 = 26357191051
BaseRepresentation
bin1111111111110…
…01101001000000
3100100111122101020
413333321221000
5233323113210
621152105440
73216416250
oct777715100
9310448336
10134191680
1169825217
1238b35280
1321a5567c
1413b71960
15bbaa770
hex7ff9a40

134191680 has 224 divisors, whose sum is σ = 513039360. Its totient is φ = 29030400.

The previous prime is 134191679. The next prime is 134191697. The reversal of 134191680 is 86191431.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127155 + ... + 128205.

Almost surely, 2134191680 is an apocalyptic number.

134191680 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 134191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256519680).

134191680 is an abundant number, since it is smaller than the sum of its proper divisors (378847680).

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

134191680 is a wasteful number, since it uses less digits than its factorization.

134191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 134191680 is about 11584.1132591148. The cubic root of 134191680 is about 511.9668761123.

The spelling of 134191680 in words is "one hundred thirty-four million, one hundred ninety-one thousand, six hundred eighty".