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134318034816 = 2737247151883
BaseRepresentation
bin111110100010111111…
…0101000111110000000
3110211200212002010211020
41331011332220332000
54200040404103231
6141412125345440
712463345313100
oct1750576507600
9424625063736
10134318034816
1151a67035649
1222046a08280
13c887669b14
146702b69200
153761eab396
hex1f45fa8f80

134318034816 has 192 divisors, whose sum is σ = 423865716480. Its totient is φ = 37559811072.

The previous prime is 134318034787. The next prime is 134318034827. The reversal of 134318034816 is 618430813431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808411 + ... + 960293.

It is an arithmetic number, because the mean of its divisors is an integer number (2207633940).

Almost surely, 2134318034816 is an apocalyptic number.

134318034816 is a gapful number since it is divisible by the number (16) 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 134318034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211932858240).

134318034816 is an abundant number, since it is smaller than the sum of its proper divisors (289547681664).

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

134318034816 is a wasteful number, since it uses less digits than its factorization.

134318034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151961 (or 151942 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 134318034816 in words is "one hundred thirty-four billion, three hundred eighteen million, thirty-four thousand, eight hundred sixteen".