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136940144 = 241119311321
BaseRepresentation
bin10000010100110…
…00101001110000
3100112200021120012
420022120221300
5240024041034
621331034052
73251654255
oct1012305160
9315607505
10136940144
1170332180
1239a3b928
13224a8693
141428942c
15c04ecce
hex8298a70

136940144 has 80 divisors (see below), whose sum is σ = 314741760. Its totient is φ = 57024000.

The previous prime is 136940129. The next prime is 136940149. The reversal of 136940144 is 441049631.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 136940144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136940149) 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, 103004 + ... + 104324.

It is an arithmetic number, because the mean of its divisors is an integer number (3934272).

Almost surely, 2136940144 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 136940144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157370880).

136940144 is an abundant number, since it is smaller than the sum of its proper divisors (177801616).

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

136940144 is a wasteful number, since it uses less digits than its factorization.

136940144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 136940144 is about 11702.1427097776. The cubic root of 136940144 is about 515.4385857584.

Adding to 136940144 its reverse (441049631), we get a palindrome (577989775).

The spelling of 136940144 in words is "one hundred thirty-six million, nine hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 248 304 341 418 496 589 682 836 1178 1321 1364 1672 2356 2642 2728 3344 4712 5284 5456 6479 9424 10568 12958 14531 21136 25099 25916 29062 40951 50198 51832 58124 81902 100396 103664 116248 163804 200792 232496 276089 327608 401584 450461 552178 655216 778069 900922 1104356 1556138 1801844 2208712 3112276 3603688 4417424 6224552 7207376 8558759 12449104 17117518 34235036 68470072 136940144