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134228640 = 25357213439
BaseRepresentation
bin10000000000000…
…10101010100000
3100100120112002010
420000002222200
5233330304030
621152552520
73216632100
oct1000025240
9310515063
10134228640
116984aa67
1238b52740
1321a69440
1413b81200
15bbb66b0
hex8002aa0

134228640 has 288 divisors, whose sum is σ = 530893440. Its totient is φ = 28256256.

The previous prime is 134228639. The next prime is 134228641. The reversal of 134228640 is 46822431.

It is an interprime number because it is at equal distance from previous prime (134228639) and next prime (134228641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134228598 and 134228607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134228641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305541 + ... + 305979.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 2134228640 is an apocalyptic number.

134228640 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 134228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265446720).

134228640 is an abundant number, since it is smaller than the sum of its proper divisors (396664800).

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

134228640 is a wasteful number, since it uses less digits than its factorization.

134228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 134228640 is about 11585.7084375536. The cubic root of 134228640 is about 512.0138749495.

The spelling of 134228640 in words is "one hundred thirty-four million, two hundred twenty-eight thousand, six hundred forty".