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135370080 = 2532594007
BaseRepresentation
bin10000001000110…
…01010101100000
3100102201111211200
420010121111200
5234123320310
621233241200
73232424646
oct1004312540
9312644750
10135370080
116a45a5aa
1239403200
1322078b51
1413d9b196
15bd3e9c0
hex8119560

135370080 has 72 divisors (see below), whose sum is σ = 461955312. Its totient is φ = 36098304.

The previous prime is 135370049. The next prime is 135370121. The reversal of 135370080 is 80073531.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45564 + ... + 48443.

It is an arithmetic number, because the mean of its divisors is an integer number (6416046).

Almost surely, 2135370080 is an apocalyptic number.

135370080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135370080 is an abundant number, since it is smaller than the sum of its proper divisors (326585232).

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

135370080 is a wasteful number, since it uses less digits than its factorization.

135370080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94028 (or 94017 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135370080 is about 11634.8648466581. The cubic root of 135370080 is about 513.4611177166.

The spelling of 135370080 in words is "one hundred thirty-five million, three hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 94007 188014 282021 376028 470035 564042 752056 846063 940070 1128084 1410105 1504112 1692126 1880140 2256168 2820210 3008224 3384252 3760280 4230315 4512336 5640420 6768504 7520560 8460630 9024672 11280840 13537008 15041120 16921260 22561680 27074016 33842520 45123360 67685040 135370080