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134753356080 = 2435571815471
BaseRepresentation
bin111110101111111101…
…1010000100100110000
3110212211012012202100000
41331133323100210300
54201433324343310
6141523240030000
712510212425230
oct1753773204460
9425735182300
10134753356080
115216a835992
1222148762300
13c9268c7475
1467448c5cc0
15378a2ea4c0
hex1f5fed0930

134753356080 has 480 divisors, whose sum is σ = 539413475328. Its totient is φ = 30624998400.

The previous prime is 134753356039. The next prime is 134753356091. The reversal of 134753356080 is 80653357431.

134753356080 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 5 + 3 + 3 + 560 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24627745 + ... + 24633215.

Almost surely, 2134753356080 is an apocalyptic number.

134753356080 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 134753356080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269706737664).

134753356080 is an abundant number, since it is smaller than the sum of its proper divisors (404660119248).

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

134753356080 is a wasteful number, since it uses less digits than its factorization.

134753356080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 134753356080 in words is "one hundred thirty-four billion, seven hundred fifty-three million, three hundred fifty-six thousand, eighty".