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136075920 = 2435797177
BaseRepresentation
bin10000001110001…
…01101010010000
3100111001101001220
420013011222100
5234313412140
621300325040
73241424541
oct1007055220
9314041056
10136075920
116a8a1942
12396a3780
13222651c6
14141024c8
15be2dbd0
hex81c5a90

136075920 has 80 divisors (see below), whose sum is σ = 427234560. Its totient is φ = 35822592.

The previous prime is 136075913. The next prime is 136075921. The reversal of 136075920 is 29570631.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (136075921) 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, 15372 + ... + 22548.

It is an arithmetic number, because the mean of its divisors is an integer number (5340432).

Almost surely, 2136075920 is an apocalyptic number.

136075920 is a gapful number since it is divisible by the number (10) 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 136075920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213617280).

136075920 is an abundant number, since it is smaller than the sum of its proper divisors (291158640).

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

136075920 is a wasteful number, since it uses less digits than its factorization.

136075920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 136075920 is about 11665.1583786934. The cubic root of 136075920 is about 514.3519923399.

The spelling of 136075920 in words is "one hundred thirty-six million, seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 7177 9480 14354 18960 21531 28708 35885 43062 57416 71770 86124 107655 114832 143540 172248 215310 287080 344496 430620 566983 574160 861240 1133966 1700949 1722480 2267932 2834915 3401898 4535864 5669830 6803796 8504745 9071728 11339660 13607592 17009490 22679320 27215184 34018980 45358640 68037960 136075920