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135999448 = 23137916553
BaseRepresentation
bin10000001101100…
…10111111011000
3100110220111011121
420012302333120
5234303440243
621254535024
73240655564
oct1006627730
9313814147
10135999448
116a84a442
1239667474
1322239460
14140c26a4
15be161ed
hex81b2fd8

135999448 has 32 divisors (see below), whose sum is σ = 278107200. Its totient is φ = 61970688.

The previous prime is 135999443. The next prime is 135999467. The reversal of 135999448 is 844999531.

135999448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 135999395 and 135999404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135999443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 16492.

It is an arithmetic number, because the mean of its divisors is an integer number (8690850).

Almost surely, 2135999448 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 135999448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139053600).

135999448 is an abundant number, since it is smaller than the sum of its proper divisors (142107752).

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

135999448 is a wasteful number, since it uses less digits than its factorization.

135999448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16651 (or 16647 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The square root of 135999448 is about 11661.8801228618. The cubic root of 135999448 is about 514.2556223722.

The spelling of 135999448 in words is "one hundred thirty-five million, nine hundred ninety-nine thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 2054 4108 8216 16553 33106 66212 132424 215189 430378 860756 1307687 1721512 2615374 5230748 10461496 16999931 33999862 67999724 135999448