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134744040 = 233351741179
BaseRepresentation
bin10000000100000…
…00011111101000
3100101112201002000
420002000133220
5233443302130
621212011000
73224206524
oct1002003750
9311481060
10134744040
116a072212
1239160a60
1321bb9c02
1413c76d84
15bc69260
hex80807e8

134744040 has 256 divisors, whose sum is σ = 489888000. Its totient is φ = 32808960.

The previous prime is 134744039. The next prime is 134744041. The reversal of 134744040 is 40447431.

It is an interprime number because it is at equal distance from previous prime (134744039) and next prime (134744041).

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

It is a junction number, because it is equal to n+sod(n) for n = 134743995 and 134744013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134744041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 752671 + ... + 752849.

It is an arithmetic number, because the mean of its divisors is an integer number (1913625).

Almost surely, 2134744040 is an apocalyptic number.

134744040 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 134744040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000).

134744040 is an abundant number, since it is smaller than the sum of its proper divisors (355143960).

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

134744040 is a wasteful number, since it uses less digits than its factorization.

134744040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 134744040 is about 11607.9300480318. The cubic root of 134744040 is about 512.6683674458.

The spelling of 134744040 in words is "one hundred thirty-four million, seven hundred forty-four thousand, forty".