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136445736136100 = 225211145771224193
BaseRepresentation
bin11111000001100010111111…
…101000100010110110100100
3122220010002021221201122121112
4133001202333220202312210
5120341011331422323400
61202110150021204152
740511610352646426
oct3701427750426644
9586102257648545
10136445736136100
113a526347a08a66
1213378120b60658
135b19a15816731
14259a01a482816
1510b94002c7835
hex7c18bfa22da4

136445736136100 has 36 divisors (see below), whose sum is σ = 296087754928644. Its totient is φ = 54578200903680.

The previous prime is 136445736136097. The next prime is 136445736136103. The reversal of 136445736136100 is 1631637544631.

It is an interprime number because it is at equal distance from previous prime (136445736136097) and next prime (136445736136103).

It can be written as a sum of positive squares in 6 ways, for example, as 3693676547236 + 132752059588864 = 1921894^2 + 11521808^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (136445736136103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110845604 + ... + 112069796.

It is an arithmetic number, because the mean of its divisors is an integer number (8224659859129).

Almost surely, 2136445736136100 is an apocalyptic number.

136445736136100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136445736136100 is an abundant number, since it is smaller than the sum of its proper divisors (159642018792544).

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

136445736136100 is a wasteful number, since it uses less digits than its factorization.

136445736136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338784 (or 2338777 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 136445736136100 in words is "one hundred thirty-six trillion, four hundred forty-five billion, seven hundred thirty-six million, one hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1114577 1224193 2229154 2448386 4458308 4896772 5572885 6120965 11145770 12241930 22291540 24483860 27864425 30604825 55728850 61209650 111457700 122419300 1364457361361 2728914722722 5457829445444 6822286806805 13644573613610 27289147227220 34111434034025 68222868068050 136445736136100