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136101405 = 3511317401
BaseRepresentation
bin10000001110010…
…11111000011101
3100111002200000210
420013023320131
5234320221110
621301043033
73241562046
oct1007137035
9314080023
10136101405
116a90a000
12396b6479
132227399b
141410b8cd
15be36520
hex81cbe1d

136101405 has 64 divisors (see below), whose sum is σ = 254244096. Its totient is φ = 61952000.

The previous prime is 136101401. The next prime is 136101409. The reversal of 136101405 is 504101631.

136101405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136101401) and next prime (136101409).

It is not a de Polignac number, because 136101405 - 22 = 136101401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136101401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339205 + ... + 339605.

It is an arithmetic number, because the mean of its divisors is an integer number (3972564).

Almost surely, 2136101405 is an apocalyptic number.

136101405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136101405 is a deficient number, since it is larger than the sum of its proper divisors (118142691).

136101405 is a wasteful number, since it uses less digits than its factorization.

136101405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 136101405 is about 11666.2506830601. The cubic root of 136101405 is about 514.3841005001.

The spelling of 136101405 in words is "one hundred thirty-six million, one hundred one thousand, four hundred five".

Divisors: 1 3 5 11 15 17 33 51 55 85 121 165 187 255 363 401 561 605 935 1203 1331 1815 2005 2057 2805 3993 4411 6015 6171 6655 6817 10285 13233 19965 20451 22055 22627 30855 34085 48521 66165 67881 74987 102255 113135 145563 224961 242605 339405 374935 533731 727815 824857 1124805 1601193 2474571 2668655 4124285 8005965 9073427 12372855 27220281 45367135 136101405