Search a number
-
+
136455200000 = 285572592
BaseRepresentation
bin111111100010101011…
…1010001110100000000
3111001012210112101022022
41333011113101310000
54213430012400000
6142404152301012
712600326030300
oct1770527216400
9431183471268
10136455200000
1152963448469
12225426a1768
13cb3836b0c2
14686692b600
153839915585
hex1fc55d1d00

136455200000 has 486 divisors, whose sum is σ = 402859789542. Its totient is φ = 45991680000.

The previous prime is 136455199981. The next prime is 136455200017. The reversal of 136455200000 is 2554631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 63053218816 + 73401981184 = 251104^2 + 270928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2312799971 + ... + 2312800029.

Almost surely, 2136455200000 is an apocalyptic number.

136455200000 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 136455200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201429894771).

136455200000 is an abundant number, since it is smaller than the sum of its proper divisors (266404589542).

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

136455200000 is an frugal number, since it uses more digits than its factorization.

136455200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 136455200000 its reverse (2554631), we get a palindrome (136457754631).

The spelling of 136455200000 in words is "one hundred thirty-six billion, four hundred fifty-five million, two hundred thousand".