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134511460336 = 241119199320183
BaseRepresentation
bin111110101000110000…
…0011111111111110000
3110212012100001011202101
41331101200133333300
54200434413212321
6141443235230144
712501214355641
oct1752140377760
9425170034671
10134511460336
1152056238050
122209b748354
13c8b87617a6
1467207196c8
153773e67791
hex1f5181fff0

134511460336 has 80 divisors (see below), whose sum is σ = 299436906240. Its totient is φ = 57891663360.

The previous prime is 134511460333. The next prime is 134511460357. The reversal of 134511460336 is 633064115431.

It is a junction number, because it is equal to n+sod(n) for n = 134511460295 and 134511460304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134511460333) 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, 6654501 + ... + 6674683.

It is an arithmetic number, because the mean of its divisors is an integer number (3742961328).

Almost surely, 2134511460336 is an apocalyptic number.

134511460336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134511460336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149718453120).

134511460336 is an abundant number, since it is smaller than the sum of its proper divisors (164925445904).

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

134511460336 is a wasteful number, since it uses less digits than its factorization.

134511460336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22214 (or 22208 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 134511460336 its reverse (633064115431), we get a palindrome (767575575767).

The spelling of 134511460336 in words is "one hundred thirty-four billion, five hundred eleven million, four hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 1993 3344 3986 7972 15944 20183 21923 31888 37867 40366 43846 75734 80732 87692 151468 161464 175384 222013 302936 322928 350768 383477 416537 444026 605872 766954 833074 888052 1533908 1666148 1776104 3067816 3332296 3552208 4218247 6135632 6664592 8436494 16872988 33745976 40224719 67491952 80449438 160898876 321797752 442471909 643595504 764269661 884943818 1528539322 1769887636 3057078644 3539775272 6114157288 7079550544 8406966271 12228314576 16813932542 33627865084 67255730168 134511460336