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135967048 = 2375361751
BaseRepresentation
bin10000001101010…
…11000101001000
3100110211211201121
420012223011020
5234301421143
621254125024
73240462250
oct1006530510
9313754647
10135967048
116a828068
1239650774
1322227799
14140b4960
15be0b7ed
hex81ab148

135967048 has 64 divisors (see below), whose sum is σ = 302123520. Its totient is φ = 56160000.

The previous prime is 135967043. The next prime is 135967049. The reversal of 135967048 is 840769531.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 135966995 and 135967013.

It is not an unprimeable number, because it can be changed into a prime (135967043) 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, 180673 + ... + 181423.

It is an arithmetic number, because the mean of its divisors is an integer number (4720680).

Almost surely, 2135967048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135967048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061760).

135967048 is an abundant number, since it is smaller than the sum of its proper divisors (166156472).

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

135967048 is a wasteful number, since it uses less digits than its factorization.

135967048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 135967048 is about 11660.4908987572. The cubic root of 135967048 is about 514.2147810165.

The spelling of 135967048 in words is "one hundred thirty-five million, nine hundred sixty-seven thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 61 106 122 212 244 371 424 427 488 742 751 854 1484 1502 1708 2968 3004 3233 3416 5257 6008 6466 10514 12932 21028 22631 25864 39803 42056 45262 45811 79606 90524 91622 159212 181048 183244 278621 318424 320677 366488 557242 641354 1114484 1282708 2228968 2427983 2565416 4855966 9711932 16995881 19423864 33991762 67983524 135967048