Search a number
-
+
136437648 = 24317374519
BaseRepresentation
bin10000010000111…
…01111110010000
3100111201202021020
420020131332100
5234412001043
621312155440
73244462254
oct1010357620
9314652236
10136437648
1170019696
1239838b80
1322360a49
1414198264
15bea0e83
hex821df90

136437648 has 80 divisors (see below), whose sum is σ = 383368320. Its totient is φ = 41637888.

The previous prime is 136437643. The next prime is 136437659. The reversal of 136437648 is 846734631.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (136437643) 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, 27933 + ... + 32451.

It is an arithmetic number, because the mean of its divisors is an integer number (4792104).

Almost surely, 2136437648 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 136437648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191684160).

136437648 is an abundant number, since it is smaller than the sum of its proper divisors (246930672).

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

136437648 is a wasteful number, since it uses less digits than its factorization.

136437648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4578 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 136437648 is about 11680.6527214878. The cubic root of 136437648 is about 514.8073530874.

The spelling of 136437648 in words is "one hundred thirty-six million, four hundred thirty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 408 444 592 629 816 888 1258 1776 1887 2516 3774 4519 5032 7548 9038 10064 13557 15096 18076 27114 30192 36152 54228 72304 76823 108456 153646 167203 216912 230469 307292 334406 460938 501609 614584 668812 921876 1003218 1229168 1337624 1843752 2006436 2675248 2842451 3687504 4012872 5684902 8025744 8527353 11369804 17054706 22739608 34109412 45479216 68218824 136437648