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135121523364 = 223217321695813
BaseRepresentation
bin111110111010111011…
…1101101001010100100
3110220202211222120220100
41331311313231022210
54203212102221424
6142023551104100
712522302666232
oct1756567551244
9426684876810
10135121523364
1152339639473
122222bb12030
13c984c71829
14677b761952
1537ac7c1dc9
hex1f75ded2a4

135121523364 has 36 divisors (see below), whose sum is σ = 343531518876. Its totient is φ = 44780155968.

The previous prime is 135121523357. The next prime is 135121523423. The reversal of 135121523364 is 463325121531.

135121523364 is a `hidden beast` number, since 1 + 3 + 5 + 121 + 523 + 3 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125027302464 + 10094220900 = 353592^2 + 100470^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10841679 + ... + 10854134.

It is an arithmetic number, because the mean of its divisors is an integer number (9542542191).

Almost surely, 2135121523364 is an apocalyptic number.

It is an amenable number.

135121523364 is an abundant number, since it is smaller than the sum of its proper divisors (208409995512).

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

135121523364 is a wasteful number, since it uses less digits than its factorization.

135121523364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21695996 (or 21695991 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 135121523364 its reverse (463325121531), we get a palindrome (598446644895).

The spelling of 135121523364 in words is "one hundred thirty-five billion, one hundred twenty-one million, five hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 21695813 43391626 65087439 86783252 130174878 195262317 260349756 390524634 781049268 3753375649 7506751298 11260126947 15013502596 22520253894 33780380841 45040507788 67560761682 135121523364