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134800080640 = 285191355051
BaseRepresentation
bin111110110001010110…
…1011111111100000000
3110212221110010121101021
41331202231133330000
54202032310040030
6141532025315224
712511320531361
oct1754255377400
9425843117337
10134800080640
1152194149825
1222160335b14
13c9334a6a34
14674aba9b68
15378e47997a
hex1f62b5ff00

134800080640 has 72 divisors (see below), whose sum is σ = 323062972848. Its totient is φ = 53890867200.

The previous prime is 134800080637. The next prime is 134800080661. The reversal of 134800080640 is 46080008431.

It is a junction number, because it is equal to n+sod(n) for n = 134800080596 and 134800080605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2421115 + ... + 2476165.

It is an arithmetic number, because the mean of its divisors is an integer number (4486985734).

Almost surely, 2134800080640 is an apocalyptic number.

134800080640 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 134800080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161531486424).

134800080640 is an abundant number, since it is smaller than the sum of its proper divisors (188262892208).

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

134800080640 is an equidigital number, since it uses as much as digits as its factorization.

134800080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56985 (or 56971 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 134800080640 in words is "one hundred thirty-four billion, eight hundred million, eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1913 3826 7652 9565 15304 19130 30608 38260 55051 61216 76520 110102 122432 153040 220204 244864 275255 306080 440408 489728 550510 612160 880816 1101020 1224320 1761632 2202040 2448640 3523264 4404080 7046528 8808160 14093056 17616320 35232640 70465280 105312563 210625126 421250252 526562815 842500504 1053125630 1685001008 2106251260 3370002016 4212502520 6740004032 8425005040 13480008064 16850010080 26960016128 33700020160 67400040320 134800080640