Search a number
-
+
136785750 = 23531929331
BaseRepresentation
bin10000010011100…
…10111101010110
3100112101102202220
420021302331112
5240004121000
621323443210
73250442163
oct1011627526
9315342686
10136785750
1170237182
1239986506
132245331a
141424906a
15c01e1a0
hex8272f56

136785750 has 128 divisors (see below), whose sum is σ = 372902400. Its totient is φ = 33264000.

The previous prime is 136785749. The next prime is 136785763. The reversal of 136785750 is 57587631.

136785750 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413085 + ... + 413415.

It is an arithmetic number, because the mean of its divisors is an integer number (2913300).

Almost surely, 2136785750 is an apocalyptic number.

136785750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136785750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186451200).

136785750 is an abundant number, since it is smaller than the sum of its proper divisors (236116650).

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

136785750 is a wasteful number, since it uses less digits than its factorization.

136785750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 136785750 is about 11695.5440232595. The cubic root of 136785750 is about 515.2448014541.

The spelling of 136785750 in words is "one hundred thirty-six million, seven hundred eighty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 29 30 38 50 57 58 75 87 95 114 125 145 150 174 190 250 285 290 331 375 435 475 551 570 662 725 750 870 950 993 1102 1425 1450 1653 1655 1986 2175 2375 2755 2850 3306 3310 3625 4350 4750 4965 5510 6289 7125 7250 8265 8275 9599 9930 10875 12578 13775 14250 16530 16550 18867 19198 21750 24825 27550 28797 31445 37734 41325 41375 47995 49650 57594 62890 68875 82650 82750 94335 95990 124125 137750 143985 157225 182381 188670 206625 239975 248250 287970 314450 364762 413250 471675 479950 547143 719925 786125 911905 943350 1094286 1199875 1439850 1572250 1823810 2358375 2399750 2735715 3599625 4559525 4716750 5471430 7199250 9119050 13678575 22797625 27357150 45595250 68392875 136785750