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134256960 = 2633541379
BaseRepresentation
bin10000000000010…
…01100101000000
3100100121221221000
420000021211000
5233332210320
621153332000
73220110465
oct1000114500
9310557830
10134256960
116986a272
1238b67000
1321a792b6
1413b8b66c
15bbbec90
hex8009940

134256960 has 224 divisors, whose sum is σ = 486460800. Its totient is φ = 34836480.

The previous prime is 134256943. The next prime is 134256971. The reversal of 134256960 is 69652431.

It is a happy number.

134256960 is a `hidden beast` number, since 1 + 34 + 2 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 354051 + ... + 354429.

It is an arithmetic number, because the mean of its divisors is an integer number (2171700).

Almost surely, 2134256960 is an apocalyptic number.

134256960 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 134256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243230400).

134256960 is an abundant number, since it is smaller than the sum of its proper divisors (352203840).

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

134256960 is a wasteful number, since it uses less digits than its factorization.

134256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 134256960 is about 11586.9305685328. The cubic root of 134256960 is about 512.0498812079.

The spelling of 134256960 in words is "one hundred thirty-four million, two hundred fifty-six thousand, nine hundred sixty".