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136154007312 = 24331143363853
BaseRepresentation
bin111111011001101101…
…0010100011100010000
3111000102210210012121120
41332303122110130100
54212320411213222
6142314232522240
712560010652431
oct1766332243420
9430383705546
10136154007312
1152819429994
1222479850380
13cabab4348b
146838927488
15381d26d15c
hex1fb3694710

136154007312 has 80 divisors (see below), whose sum is σ = 363336411648. Its totient is φ = 43889310720.

The previous prime is 136154007307. The next prime is 136154007317. The reversal of 136154007312 is 213700451631.

It is an interprime number because it is at equal distance from previous prime (136154007307) and next prime (136154007317).

It is a super-2 number, since 2×1361540073122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136154007317) 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 15 ways as a sum of consecutive naturals, for example, 2100378 + ... + 2164230.

Almost surely, 2136154007312 is an apocalyptic number.

136154007312 is a gapful number since it is divisible by the number (12) 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 136154007312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181668205824).

136154007312 is an abundant number, since it is smaller than the sum of its proper divisors (227182404336).

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

136154007312 is a wasteful number, since it uses less digits than its factorization.

136154007312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65328 (or 65322 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 136154007312 its reverse (213700451631), we get a palindrome (349854458943).

The spelling of 136154007312 in words is "one hundred thirty-six billion, one hundred fifty-four million, seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1433 1488 2866 4299 5732 8598 11464 17196 22928 34392 44423 63853 68784 88846 127706 133269 177692 191559 255412 266538 355384 383118 510824 533076 710768 766236 1021648 1066152 1532472 1979443 2132304 3064944 3958886 5938329 7917772 11876658 15835544 23753316 31671088 47506632 91501349 95013264 183002698 274504047 366005396 549008094 732010792 1098016188 1464021584 2196032376 2836541819 4392064752 5673083638 8509625457 11346167276 17019250914 22692334552 34038501828 45384669104 68077003656 136154007312