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136605472 = 25171511663
BaseRepresentation
bin10000010010001…
…10111100100000
3100112001021110221
420021012330200
5234432333342
621315532424
73246061453
oct1011067440
9315037427
10136605472
1170123793
12398ba114
13223bc253
14141dd49a
15bed5a67
hex8246f20

136605472 has 48 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 63820800.

The previous prime is 136605451. The next prime is 136605479. The reversal of 136605472 is 274506631.

It is a happy number.

It is a super-2 number, since 2×1366054722 = 37322109960685568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (136605479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81313 + ... + 82975.

It is an arithmetic number, because the mean of its divisors is an integer number (5975424).

Almost surely, 2136605472 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 136605472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

136605472 is an abundant number, since it is smaller than the sum of its proper divisors (150214880).

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

136605472 is a wasteful number, since it uses less digits than its factorization.

136605472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 136605472 is about 11687.8343588537. The cubic root of 136605472 is about 515.0183447765.

The spelling of 136605472 in words is "one hundred thirty-six million, six hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 151 272 302 544 604 1208 1663 2416 2567 3326 4832 5134 6652 10268 13304 20536 26608 28271 41072 53216 56542 82144 113084 226168 251113 452336 502226 904672 1004452 2008904 4017808 4268921 8035616 8537842 17075684 34151368 68302736 136605472