Search a number
-
+
136136988 = 223213461631
BaseRepresentation
bin10000001110101…
…00100100011100
3100111011110211200
420013110210130
5234322340423
621301515500
73242100561
oct1007244434
9314143750
10136136988
116a933809
1239712b90
1322286c40
141411a868
15be41d43
hex81d491c

136136988 has 72 divisors (see below), whose sum is σ = 371987616. Its totient is φ = 41731200.

The previous prime is 136136983. The next prime is 136136993. The reversal of 136136988 is 889631631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136136983) and next prime (136136993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136136983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215433 + ... + 216063.

Almost surely, 2136136988 is an apocalyptic number.

136136988 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 136136988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185993808).

136136988 is an abundant number, since it is smaller than the sum of its proper divisors (235850628).

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

136136988 is a wasteful number, since it uses less digits than its factorization.

136136988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1110 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 136136988 is about 11667.7756234854. The cubic root of 136136988 is about 514.4289242709.

The spelling of 136136988 in words is "one hundred thirty-six million, one hundred thirty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 461 468 631 922 1262 1383 1844 1893 2524 2766 3786 4149 5532 5679 5993 7572 8203 8298 11358 11986 16406 16596 17979 22716 23972 24609 32812 35958 49218 53937 71916 73827 98436 107874 147654 215748 290891 295308 581782 872673 1163564 1745346 2618019 3490692 3781583 5236038 7563166 10472076 11344749 15126332 22689498 34034247 45378996 68068494 136136988