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134160000 = 273541343
BaseRepresentation
bin1111111111100…
…01111010000000
3100100110000220220
413333301322000
5233321110000
621151303040
73216225012
oct777617200
9310400826
10134160000
1169803437
1238b1aa80
1321a44120
1413b641b2
15bba11a0
hex7ff1e80

134160000 has 320 divisors, whose sum is σ = 490717920. Its totient is φ = 32256000.

The previous prime is 134159983. The next prime is 134160011. The reversal of 134160000 is 61431.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3119979 + ... + 3120021.

Almost surely, 2134160000 is an apocalyptic number.

134160000 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 134160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245358960).

134160000 is an abundant number, since it is smaller than the sum of its proper divisors (356557920).

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

134160000 is an equidigital number, since it uses as much as digits as its factorization.

134160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 134160000 is about 11582.7457884562. The cubic root of 134160000 is about 511.9265845256.

The spelling of 134160000 in words is "one hundred thirty-four million, one hundred sixty thousand".