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136375104100 = 2252369292
BaseRepresentation
bin111111100000010010…
…1101111001001100100
3111001000012211002101111
41333000211233021210
54213244011312400
6142352211434404
712565334154454
oct1770045571144
9431005732344
10136375104100
1152922211204
122251b8b5a04
13cb248a6191
14685a03bd64
1538328933ba
hex1fc096f264

136375104100 has 27 divisors (see below), whose sum is σ = 295941989707. Its totient is φ = 54548564480.

The previous prime is 136375104049. The next prime is 136375104109. The reversal of 136375104100 is 1401573631.

The square root of 136375104100 is 369290.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1239462436 + 135135641664 = 35206^2 + 367608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136375104109) 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 8 ways as a sum of consecutive naturals, for example, 3674436 + ... + 3711364.

Almost surely, 2136375104100 is an apocalyptic number.

136375104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136375104100 is the 369290-th square number.

It is an amenable number.

136375104100 is an abundant number, since it is smaller than the sum of its proper divisors (159566885607).

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

136375104100 is an frugal number, since it uses more digits than its factorization.

136375104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73872 (or 36936 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

Adding to 136375104100 its reverse (1401573631), we get a palindrome (137776677731).

The spelling of 136375104100 in words is "one hundred thirty-six billion, three hundred seventy-five million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 36929 73858 147716 184645 369290 738580 923225 1846450 3692900 1363751041 2727502082 5455004164 6818755205 13637510410 27275020820 34093776025 68187552050 136375104100