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121445136 = 2433733851
BaseRepresentation
bin1110011110100…
…01101100010000
322110112001102000
413033101230100
5222042221021
620014554000
73003160311
oct717215420
9273461360
10121445136
116260958a
1234808900
131c211937
14121b4608
15a9ddb26
hex73d1b10

121445136 has 80 divisors (see below), whose sum is σ = 353459520. Its totient is φ = 39916800.

The previous prime is 121445119. The next prime is 121445141. The reversal of 121445136 is 631544121.

It is a happy number.

121445136 is a `hidden beast` number, since 1 + 2 + 144 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29611 + ... + 33461.

It is an arithmetic number, because the mean of its divisors is an integer number (4418244).

Almost surely, 2121445136 is an apocalyptic number.

121445136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121445136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176729760).

121445136 is an abundant number, since it is smaller than the sum of its proper divisors (232014384).

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

121445136 is a wasteful number, since it uses less digits than its factorization.

121445136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3929 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 121445136 is about 11020.2148799377. The cubic root of 121445136 is about 495.2145259305.

Adding to 121445136 its reverse (631544121), we get a palindrome (752989257).

The spelling of 121445136 in words is "one hundred twenty-one million, four hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3851 3942 5256 7702 7884 10512 11553 15404 15768 23106 30808 31536 34659 46212 61616 69318 92424 103977 138636 184848 207954 277272 281123 415908 554544 562246 831816 843369 1124492 1663632 1686738 2248984 2530107 3373476 4497968 5060214 6746952 7590321 10120428 13493904 15180642 20240856 30361284 40481712 60722568 121445136