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134378696928 = 25371091183289
BaseRepresentation
bin111110100100110011…
…0000011000011100000
3110211212002020002121010
41331021212003003200
54200201421300203
6141422133500520
712465013035420
oct1751146030340
9424762202533
10134378696928
1151a982a8a23
12220631a1740
13c8970b9268
14670ac3a480
153767490303
hex1f499830e0

134378696928 has 96 divisors (see below), whose sum is σ = 403507802880. Its totient is φ = 38358512640.

The previous prime is 134378696923. The next prime is 134378696939. The reversal of 134378696928 is 829696873431.

It is a Cunningham number, because it is equal to 3665772-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134378696923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641508 + ... + 824796.

It is an arithmetic number, because the mean of its divisors is an integer number (4203206280).

Almost surely, 2134378696928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134378696928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201753901440).

134378696928 is an abundant number, since it is smaller than the sum of its proper divisors (269129105952).

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

134378696928 is a wasteful number, since it uses less digits than its factorization.

134378696928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184400 (or 184392 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 66.

The spelling of 134378696928 in words is "one hundred thirty-four billion, three hundred seventy-eight million, six hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1091 2182 3273 4364 6546 7637 8728 13092 15274 17456 22911 26184 30548 34912 45822 52368 61096 91644 104736 122192 183288 183289 244384 366576 366578 549867 733152 733156 1099734 1283023 1466312 2199468 2566046 2932624 3849069 4398936 5132092 5865248 7698138 8797872 10264184 15396276 17595744 20528368 30792552 41056736 61585104 123170208 199968299 399936598 599904897 799873196 1199809794 1399778093 1599746392 2399619588 2799556186 3199492784 4199334279 4799239176 5599112372 6398985568 8398668558 9598478352 11198224744 16797337116 19196956704 22396449488 33594674232 44792898976 67189348464 134378696928