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135421522542 = 233107123718947
BaseRepresentation
bin111111000011111000…
…0000111001001101110
3110221112202111010102000
41332013300013021232
54204320402210132
6142113425113130
712532604643345
oct1760760071156
9427482433360
10135421522542
1152482a12279
12222b44887a6
13ca0216c137
1467a9534b5c
1537c8cd087c
hex1f87c0726e

135421522542 has 64 divisors (see below), whose sum is σ = 304010807040. Its totient is φ = 44680124448.

The previous prime is 135421522447. The next prime is 135421522553. The reversal of 135421522542 is 245225124531.

135421522542 is a `hidden beast` number, since 1 + 3 + 5 + 421 + 5 + 225 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135421522497 and 135421522506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7137913 + ... + 7156859.

It is an arithmetic number, because the mean of its divisors is an integer number (4750168860).

Almost surely, 2135421522542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135421522542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152005403520).

135421522542 is an abundant number, since it is smaller than the sum of its proper divisors (168589284498).

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

135421522542 is a wasteful number, since it uses less digits than its factorization.

135421522542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20302 (or 20296 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 135421522542 in words is "one hundred thirty-five billion, four hundred twenty-one million, five hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1237 1926 2474 2889 3711 5778 7422 11133 18947 22266 33399 37894 56841 66798 113682 132359 170523 264718 341046 397077 511569 794154 1023138 1191231 2027329 2382462 3573693 4054658 6081987 7147386 12163974 18245961 23437439 36491922 46874878 54737883 70312317 109475766 140624634 210936951 421873902 632810853 1265621706 2507805973 5015611946 7523417919 15046835838 22570253757 45140507514 67710761271 135421522542