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136224825 = 35211217883
BaseRepresentation
bin10000001111010…
…10000000111001
3100111022221022220
420013222000321
5234333143300
621303434253
73242614632
oct1007520071
9314287286
10136224825
116a993800
1239755989
13222b7c09
1414140889
15be5cda0
hex81ea039

136224825 has 72 divisors (see below), whose sum is σ = 262420704. Its totient is φ = 62092800.

The previous prime is 136224811. The next prime is 136224839. The reversal of 136224825 is 528422631.

It is an interprime number because it is at equal distance from previous prime (136224811) and next prime (136224839).

It is not a de Polignac number, because 136224825 - 25 = 136224793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153834 + ... + 154716.

It is an arithmetic number, because the mean of its divisors is an integer number (3644732).

Almost surely, 2136224825 is an apocalyptic number.

136224825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136224825 is a deficient number, since it is larger than the sum of its proper divisors (126195879).

136224825 is a wasteful number, since it uses less digits than its factorization.

136224825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 919 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 136224825 is about 11671.5391015924. The cubic root of 136224825 is about 514.5395387812.

The spelling of 136224825 in words is "one hundred thirty-six million, two hundred twenty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 121 165 187 255 275 363 425 561 605 825 883 935 1275 1815 2057 2649 2805 3025 4415 4675 6171 9075 9713 10285 13245 14025 15011 22075 29139 30855 45033 48565 51425 66225 75055 106843 145695 154275 165121 225165 242825 320529 375275 495363 534215 728475 825605 1125825 1602645 1816331 2476815 2671075 4128025 5448993 8013225 9081655 12384075 27244965 45408275 136224825