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135969948 = 22332634787
BaseRepresentation
bin10000001101010…
…11110010011100
3100110211222201000
420012223302130
5234302014243
621254150300
73240503562
oct1006536234
9313758630
10135969948
116a82a264
1239652390
1322228bba
14140b5a32
15be0c5d3
hex81abc9c

135969948 has 48 divisors (see below), whose sum is σ = 353928960. Its totient is φ = 45141552.

The previous prime is 135969943. The next prime is 135969959. The reversal of 135969948 is 849969531.

135969948 is a `hidden beast` number, since 1 + 3 + 596 + 9 + 9 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 135969894 and 135969903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135969941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26011 + ... + 30797.

It is an arithmetic number, because the mean of its divisors is an integer number (7373520).

Almost surely, 2135969948 is an apocalyptic number.

135969948 is a gapful number since it is divisible by the number (18) 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 135969948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176964480).

135969948 is an abundant number, since it is smaller than the sum of its proper divisors (217959012).

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

135969948 is a wasteful number, since it uses less digits than its factorization.

135969948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5055 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 135969948 is about 11660.6152496341. The cubic root of 135969948 is about 514.2184368343.

The spelling of 135969948 in words is "one hundred thirty-five million, nine hundred sixty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 526 789 1052 1578 2367 3156 4734 4787 7101 9468 9574 14202 14361 19148 28404 28722 43083 57444 86166 129249 172332 258498 516996 1258981 2517962 3776943 5035924 7553886 11330829 15107772 22661658 33992487 45323316 67984974 135969948