Search a number
-
+
136988544 = 27371141113
BaseRepresentation
bin10000010101001…
…00011110000000
3100112202201221210
420022210132000
5240032113134
621332050120
73252245340
oct1012443600
9315681853
10136988544
1170365580
1239a63940
13224c4714
141429cd20
15c05e2e9
hex82a4780

136988544 has 256 divisors, whose sum is σ = 468840960. Its totient is φ = 34406400.

The previous prime is 136988539. The next prime is 136988549. The reversal of 136988544 is 445889631.

It is an interprime number because it is at equal distance from previous prime (136988539) and next prime (136988549).

It is a super-2 number, since 2×1369885442 = 37531722374479872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 136988493 and 136988502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136988549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212232 + ... + 1212344.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2136988544 is an apocalyptic number.

136988544 is a gapful number since it is divisible by the number (14) 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 136988544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

136988544 is an abundant number, since it is smaller than the sum of its proper divisors (331852416).

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

136988544 is a wasteful number, since it uses less digits than its factorization.

136988544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 136988544 is about 11704.2105244224. The cubic root of 136988544 is about 515.4993039873.

The spelling of 136988544 in words is "one hundred thirty-six million, nine hundred eighty-eight thousand, five hundred forty-four".