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137354254744531 = 115916312171066889
BaseRepresentation
bin11111001110110001000111…
…100011111111101111010011
3200000022221100011202212202211
4133032301013203333233103
5121000403003203311111
61204043401252052551
740634342322466156
oct3716610743775723
9600287304685684
10137354254744531
113a846680a92410
12134a4212004157
135b845b20b4936
1425cbda4d6dc9d
1510d2d755e1521
hex7cec478ffbd3

137354254744531 has 32 divisors (see below), whose sum is σ = 153441656121600. Its totient is φ = 121897672519680.

The previous prime is 137354254744523. The next prime is 137354254744541. The reversal of 137354254744531 is 135447452453731.

It is a cyclic number.

It is not a de Polignac number, because 137354254744531 - 23 = 137354254744523 is a prime.

It is a super-2 number, since 2×1373542547445312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137354254744541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128209335 + ... + 129276223.

It is an arithmetic number, because the mean of its divisors is an integer number (4795051753800).

Almost surely, 2137354254744531 is an apocalyptic number.

137354254744531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137354254744531 is a deficient number, since it is larger than the sum of its proper divisors (16087401377069).

137354254744531 is a wasteful number, since it uses less digits than its factorization.

137354254744531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068339.

The product of its digits is 84672000, while the sum is 58.

The spelling of 137354254744531 in words is "one hundred thirty-seven trillion, three hundred fifty-four billion, two hundred fifty-four million, seven hundred forty-four thousand, five hundred thirty-one".

Divisors: 1 11 59 163 649 1217 1793 9617 13387 71803 105787 198371 789833 1066889 2182081 11703889 11735779 62946451 128742779 173902907 692410961 1298403913 1912931977 10260271513 14282443043 76605830867 112862986643 211639837819 842664139537 2328038216009 12486750431321 137354254744531