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136488240 = 2435571759
BaseRepresentation
bin10000010001010…
…10010100110000
3100111211022200000
420020222110300
5234420110430
621313230000
73245062620
oct1010522460
9314738600
10136488240
11700536a9
1239862300
132237aa95
14141ac880
15beb0e60
hex822a530

136488240 has 480 divisors, whose sum is σ = 584962560. Its totient is φ = 28864512.

The previous prime is 136488217. The next prime is 136488241. The reversal of 136488240 is 42884631.

136488240 is a `hidden beast` number, since 1 + 3 + 648 + 8 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136488195 and 136488204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136488241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2313331 + ... + 2313389.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2136488240 is an apocalyptic number.

136488240 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 136488240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

136488240 is an abundant number, since it is smaller than the sum of its proper divisors (448474320).

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

136488240 is a wasteful number, since it uses less digits than its factorization.

136488240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 136488240 is about 11682.8181531684. The cubic root of 136488240 is about 514.8709765702.

The spelling of 136488240 in words is "one hundred thirty-six million, four hundred eighty-eight thousand, two hundred forty".