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135141523456 = 2203592
BaseRepresentation
bin111110111011100010…
…0000000000000000000
3110220211020121200212111
41331313010000000000
54203232212222311
6142025543505104
712522634665442
oct1756704000000
9426736550774
10135141523456
1152349959875
1222236758194
13c989154cc4
14678028a492
1537ae422d21
hex1f77100000

135141523456 has 63 divisors (see below), whose sum is σ = 271037892391. Its totient is φ = 67382542336.

The previous prime is 135141523403. The next prime is 135141523487. The reversal of 135141523456 is 654325141531.

The square root of 135141523456 is 367616.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 376438605 + ... + 376438963.

Almost surely, 2135141523456 is an apocalyptic number.

135141523456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135141523456 is the 367616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135141523456

135141523456 is an abundant number, since it is smaller than the sum of its proper divisors (135896368935).

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

135141523456 is an frugal number, since it uses more digits than its factorization.

135141523456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 361 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

Adding to 135141523456 its reverse (654325141531), we get a palindrome (789466664987).

The spelling of 135141523456 in words is "one hundred thirty-five billion, one hundred forty-one million, five hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 359 512 718 1024 1436 2048 2872 4096 5744 8192 11488 16384 22976 32768 45952 65536 91904 128881 131072 183808 257762 262144 367616 515524 524288 735232 1031048 1048576 1470464 2062096 2940928 4124192 5881856 8248384 11763712 16496768 23527424 32993536 47054848 65987072 94109696 131974144 188219392 263948288 376438784 527896576 1055793152 2111586304 4223172608 8446345216 16892690432 33785380864 67570761728 135141523456