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135441503380 = 22573409226817
BaseRepresentation
bin111111000100011110…
…0010101010010010100
3110221121011002020222001
41332020330111102110
54204341011102010
6142115421245044
712533236532461
oct1761074252224
9427534066861
10135441503380
115249321a167
12222bb103784
13ca06346911
1467ac056668
1537ca92ac3a
hex1f88f15494

135441503380 has 48 divisors (see below), whose sum is σ = 289029641040. Its totient is φ = 53303574528.

The previous prime is 135441503357. The next prime is 135441503381. The reversal of 135441503380 is 83305144531.

135441503380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 513113104 + 134928390276 = 22652^2 + 367326^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135441503381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483732 + ... + 710548.

It is an arithmetic number, because the mean of its divisors is an integer number (6021450855).

Almost surely, 2135441503380 is an apocalyptic number.

135441503380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135441503380 is an abundant number, since it is smaller than the sum of its proper divisors (153588137660).

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

135441503380 is a wasteful number, since it uses less digits than its factorization.

135441503380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227308 (or 227306 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 135441503380 in words is "one hundred thirty-five billion, four hundred forty-one million, five hundred three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 292 365 409 730 818 1460 1636 2045 4090 8180 29857 59714 119428 149285 226817 298570 453634 597140 907268 1134085 2268170 4536340 16557641 33115282 66230564 82788205 92768153 165576410 185536306 331152820 371072612 463840765 927681530 1855363060 6772075169 13544150338 27088300676 33860375845 67720751690 135441503380