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136150420 = 2257389223
BaseRepresentation
bin10000001110101…
…11110110010100
3100111012011021011
420013113312110
5234323303140
621302102004
73242155000
oct1007276624
9314164234
10136150420
116a94290a
123971a904
13222900a3
1414121700
15be45cea
hex81d7d94

136150420 has 96 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 45948672.

The previous prime is 136150393. The next prime is 136150429. The reversal of 136150420 is 24051631.

136150420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 136150391 and 136150400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136150429) 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, 610429 + ... + 610651.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2136150420 is an apocalyptic number.

136150420 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 136150420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

136150420 is an abundant number, since it is smaller than the sum of its proper divisors (202537580).

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

136150420 is a wasteful number, since it uses less digits than its factorization.

136150420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 136150420 is about 11668.3512117180. The cubic root of 136150420 is about 514.4458424800.

The spelling of 136150420 in words is "one hundred thirty-six million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 89 98 140 178 196 223 245 343 356 445 446 490 623 686 890 892 980 1115 1246 1372 1561 1715 1780 2230 2492 3115 3122 3430 4361 4460 6230 6244 6860 7805 8722 10927 12460 15610 17444 19847 21805 21854 30527 31220 39694 43610 43708 54635 61054 76489 79388 87220 99235 109270 122108 138929 152635 152978 198470 218540 277858 305270 305956 382445 396940 555716 610540 694645 764890 972503 1389290 1529780 1945006 2778580 3890012 4862515 6807521 9725030 13615042 19450060 27230084 34037605 68075210 136150420