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134133445200 = 243521071044653
BaseRepresentation
bin111110011101011111…
…0011111001001010000
3110211012222202000110210
41330322332133021100
54144201130221300
6141341533124120
712455644320666
oct1747276371120
9424188660423
10134133445200
1151981918747
1221bb5029640
13c858349bb1
1466c6438c36
153750b98050
hex1f3af9f250

134133445200 has 120 divisors (see below), whose sum is σ = 433690197408. Its totient is φ = 35434595840.

The previous prime is 134133445189. The next prime is 134133445211. The reversal of 134133445200 is 2544331431.

134133445200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134133445189) and next prime (134133445211).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1341334452002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 393927 + ... + 650726.

Almost surely, 2134133445200 is an apocalyptic number.

134133445200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134133445200 is an abundant number, since it is smaller than the sum of its proper divisors (299556752208).

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

134133445200 is a wasteful number, since it uses less digits than its factorization.

134133445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044781 (or 1044770 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 134133445200 its reverse (2544331431), we get a palindrome (136677776631).

The spelling of 134133445200 in words is "one hundred thirty-four billion, one hundred thirty-three million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 150 200 214 240 300 321 400 428 535 600 642 856 1070 1200 1284 1605 1712 2140 2568 2675 3210 4280 5136 5350 6420 8025 8560 10700 12840 16050 21400 25680 32100 42800 64200 128400 1044653 2089306 3133959 4178612 5223265 6267918 8357224 10446530 12535836 15669795 16714448 20893060 25071672 26116325 31339590 41786120 50143344 52232650 62679180 78348975 83572240 104465300 111777871 125358360 156697950 208930600 223555742 250716720 313395900 335333613 417861200 447111484 558889355 626791800 670667226 894222968 1117778710 1253583600 1341334452 1676668065 1788445936 2235557420 2682668904 2794446775 3353336130 4471114840 5365337808 5588893550 6706672260 8383340325 8942229680 11177787100 13413344520 16766680650 22355574200 26826689040 33533361300 44711148400 67066722600 134133445200