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135215245120 = 2655318794243
BaseRepresentation
bin111110111101101110…
…1001110011101000000
3110221000101100010222111
41331323131032131000
54203410100320440
6142041135545104
712524521422424
oct1757335163500
9427011303874
10135215245120
1152387531a6a
122225738b194
13c99b4c77a7
146789d9ab84
1537b5b364ea
hex1f7b74e740

135215245120 has 112 divisors (see below), whose sum is σ = 328308370560. Its totient is φ = 53024864256.

The previous prime is 135215245117. The next prime is 135215245189. The reversal of 135215245120 is 21542512531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31865719 + ... + 31869961.

Almost surely, 2135215245120 is an apocalyptic number.

135215245120 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 135215245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164154185280).

135215245120 is an abundant number, since it is smaller than the sum of its proper divisors (193093125440).

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

135215245120 is a wasteful number, since it uses less digits than its factorization.

135215245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 135215245120 its reverse (21542512531), we get a palindrome (156757757651).

The spelling of 135215245120 in words is "one hundred thirty-five billion, two hundred fifteen million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 1879 2120 3392 3758 4240 4243 7516 8480 8486 9395 15032 16960 16972 18790 21215 30064 33944 37580 42430 60128 67888 75160 84860 99587 120256 135776 150320 169720 199174 224879 271552 300640 339440 398348 449758 497935 601280 678880 796696 899516 995870 1124395 1357760 1593392 1799032 1991740 2248790 3186784 3598064 3983480 4497580 6373568 7196128 7966960 7972597 8995160 14392256 15933920 15945194 17990320 31867840 31890388 35980640 39862985 63780776 71961280 79725970 127561552 159451940 255123104 318903880 422547641 510246208 637807760 845095282 1275615520 1690190564 2112738205 2551231040 3380381128 4225476410 6760762256 8450952820 13521524512 16901905640 27043049024 33803811280 67607622560 135215245120