Search a number
-
+
136060122400 = 2552829205157
BaseRepresentation
bin111111010110111010…
…0001011010100100000
3111000012021010100201121
41332231310023110200
54212122342404100
6142301040342024
712554460646456
oct1765564132440
9430167110647
10136060122400
1152780434854
1222452314914
13caa4561187
14682a2889d6
153814dc551a
hex1fadd0b520

136060122400 has 72 divisors (see below), whose sum is σ = 332559066420. Its totient is φ = 54358133760.

The previous prime is 136060122383. The next prime is 136060122409. The reversal of 136060122400 is 4221060631.

It can be written as a sum of positive squares in 6 ways, for example, as 83338451856 + 52721670544 = 288684^2 + 229612^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (136060122409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560622 + ... + 765778.

Almost surely, 2136060122400 is an apocalyptic number.

136060122400 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 136060122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166279533210).

136060122400 is an abundant number, since it is smaller than the sum of its proper divisors (196498944020).

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

136060122400 is a wasteful number, since it uses less digits than its factorization.

136060122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206006 (or 205993 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 136060122400 in words is "one hundred thirty-six billion, sixty million, one hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 829 1658 3316 4145 6632 8290 13264 16580 20725 26528 33160 41450 66320 82900 132640 165800 205157 331600 410314 663200 820628 1025785 1641256 2051570 3282512 4103140 5128925 6565024 8206280 10257850 16412560 20515700 32825120 41031400 82062800 164125600 170075153 340150306 680300612 850375765 1360601224 1700751530 2721202448 3401503060 4251878825 5442404896 6803006120 8503757650 13606012240 17007515300 27212024480 34015030600 68030061200 136060122400