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135779123454 = 23132177876733
BaseRepresentation
bin111111001110100010…
…0010000000011111110
3110222110200101010122020
41332131010100003332
54211033423422304
6142213121501010
712544506335532
oct1763504200376
9428420333566
10135779123454
1152646859117
12223941a1766
13ca5b286c00
146800c1dbc2
1537ea3bb5d9
hex1f9d1100fe

135779123454 has 48 divisors (see below), whose sum is σ = 311351541552. Its totient is φ = 39320646144.

The previous prime is 135779123453. The next prime is 135779123503. The reversal of 135779123454 is 454321977531.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 135779123397 and 135779123406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135779123453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3921129 + ... + 3955604.

It is an arithmetic number, because the mean of its divisors is an integer number (6486490449).

Almost surely, 2135779123454 is an apocalyptic number.

135779123454 is an abundant number, since it is smaller than the sum of its proper divisors (175572418098).

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

135779123454 is a wasteful number, since it uses less digits than its factorization.

135779123454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876781 (or 7876768 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The spelling of 135779123454 in words is "one hundred thirty-five billion, seven hundred seventy-nine million, one hundred twenty-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 2873 5746 8619 17238 7876733 15753466 23630199 47260398 102397529 133904461 204795058 267808922 307192587 401713383 614385174 803426766 1331167877 1740757993 2662335754 3481515986 3993503631 5222273979 7987007262 10444547958 22629853909 45259707818 67889561727 135779123454