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134900640 = 2534571487
BaseRepresentation
bin10000000101001…
…10101110100000
3100101211122220000
420002212232200
5234013310030
621215220000
73225431220
oct1002465640
9311748800
10134900640
116a169936
1239217600
1321c43284
1413cb8080
15bc9a860
hex80a6ba0

134900640 has 240 divisors, whose sum is σ = 544465152. Its totient is φ = 30813696.

The previous prime is 134900611. The next prime is 134900641. The reversal of 134900640 is 46009431.

134900640 is a `hidden beast` number, since 13 + 4 + 9 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134900641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89977 + ... + 91463.

Almost surely, 2134900640 is an apocalyptic number.

134900640 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 134900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272232576).

134900640 is an abundant number, since it is smaller than the sum of its proper divisors (409564512).

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

134900640 is a wasteful number, since it uses less digits than its factorization.

134900640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 134900640 is about 11614.6734779760. The cubic root of 134900640 is about 512.8668988845.

The spelling of 134900640 in words is "one hundred thirty-four million, nine hundred thousand, six hundred forty".