Search a number
-
+
135298271136 = 2537244782279
BaseRepresentation
bin111111000000001100…
…1111100011110100000
3110221020011120022021010
41332000121330132200
54204042324134021
6142053303300520
712526550220660
oct1760031743640
9427204508233
10135298271136
115241a38a706
122227b14a740
13c9b2777302
1467970101a0
1537bd086976
hex1f8067c7a0

135298271136 has 96 divisors (see below), whose sum is σ = 406065623040. Its totient is φ = 38640381696.

The previous prime is 135298271131. The next prime is 135298271137. The reversal of 135298271136 is 631172892531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (135298271131) 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, 1603245 + ... + 1685523.

It is an arithmetic number, because the mean of its divisors is an integer number (4229850240).

Almost surely, 2135298271136 is an apocalyptic number.

135298271136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135298271136 is an abundant number, since it is smaller than the sum of its proper divisors (270767351904).

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

135298271136 is a wasteful number, since it uses less digits than its factorization.

135298271136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84746 (or 84738 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The spelling of 135298271136 in words is "one hundred thirty-five billion, two hundred ninety-eight million, two hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2447 4894 7341 9788 14682 17129 19576 29364 34258 39152 51387 58728 68516 78304 82279 102774 117456 137032 164558 205548 234912 246837 274064 329116 411096 493674 548128 575953 658232 822192 987348 1151906 1316464 1644384 1727859 1974696 2303812 2632928 3455718 3949392 4607624 6911436 7898784 9215248 13822872 18430496 27645744 55291488 201336713 402673426 604010139 805346852 1208020278 1409356991 1610693704 2416040556 2818713982 3221387408 4228070973 4832081112 5637427964 6442774816 8456141946 9664162224 11274855928 16912283892 19328324448 22549711856 33824567784 45099423712 67649135568 135298271136