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134138112144 = 2433911971437
BaseRepresentation
bin111110011101101000…
…0010010100010010000
3110211020022112010022120
41330323100102202100
54144203324042034
6141342221134240
712456032066151
oct1747320224220
9424208463276
10134138112144
1151984516023
1221bb66ba380
13c8592c21ba
1466c6cd1928
1537512bac49
hex1f3b412890

134138112144 has 40 divisors (see below), whose sum is σ = 346537165440. Its totient is φ = 44710935168.

The previous prime is 134138112137. The next prime is 134138112149. The reversal of 134138112144 is 441211831431.

It is a happy number.

134138112144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (134138112149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841994 + ... + 1913430.

It is an arithmetic number, because the mean of its divisors is an integer number (8663429136).

Almost surely, 2134138112144 is an apocalyptic number.

It is an amenable number.

134138112144 is an abundant number, since it is smaller than the sum of its proper divisors (212399053296).

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

134138112144 is a wasteful number, since it uses less digits than its factorization.

134138112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110567 (or 110561 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

Adding to 134138112144 its reverse (441211831431), we get a palindrome (575349943575).

The spelling of 134138112144 in words is "one hundred thirty-four billion, one hundred thirty-eight million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 39119 71437 78238 117357 142874 156476 214311 234714 285748 312952 428622 469428 571496 625904 857244 938856 1142992 1714488 1877712 3428976 2794544003 5589088006 8383632009 11178176012 16767264018 22356352024 33534528036 44712704048 67069056072 134138112144