Search a number
-
+
136031880625 = 54147532
BaseRepresentation
bin111111010110000100…
…0011100010110110001
3111000010021222112021221
41332230020130112301
54212043130140000
6142254151145041
712553665623104
oct1765410342661
9430107875257
10136031880625
11527664a5343
1222444975181
13ca9b753574
14682661673b
15381269761a
hex1fac21c5b1

136031880625 has 15 divisors (see below), whose sum is σ = 169996960903. Its totient is φ = 108818128000.

The previous prime is 136031880577. The next prime is 136031880679. The reversal of 136031880625 is 526088130631.

The square root of 136031880625 is 368825.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 105636050289 + 30395830336 = 325017^2 + 174344^2 .

It is a de Polignac number, because none of the positive numbers 2k-136031880625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 9213249 + ... + 9228001.

Almost surely, 2136031880625 is an apocalyptic number.

136031880625 is the 368825-th square number.

136031880625 is the 184413-rd centered octagonal number.

It is an amenable number.

136031880625 is a deficient number, since it is larger than the sum of its proper divisors (33965080278).

136031880625 is an frugal number, since it uses more digits than its factorization.

136031880625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29526 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 136031880625 in words is "one hundred thirty-six billion, thirty-one million, eight hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 14753 73765 368825 1844125 9220625 217651009 1088255045 5441275225 27206376125 136031880625