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153443136 = 26371197107
BaseRepresentation
bin10010010010101…
…01101101000000
3101200201201102010
421021111231000
5303240140021
623120452520
73542150040
oct1111255500
9350651363
10153443136
1179684110
124347a140
1325a36172
1416543720
15d70e976
hex9255b40

153443136 has 224 divisors, whose sum is σ = 516160512. Its totient is φ = 39075840.

The previous prime is 153443131. The next prime is 153443137. The reversal of 153443136 is 631344351.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153443131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1433995 + ... + 1434101.

It is an arithmetic number, because the mean of its divisors is an integer number (2304288).

Almost surely, 2153443136 is an apocalyptic number.

153443136 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 153443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258080256).

153443136 is an abundant number, since it is smaller than the sum of its proper divisors (362717376).

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

153443136 is a wasteful number, since it uses less digits than its factorization.

153443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 153443136 is about 12387.2166365169. The cubic root of 153443136 is about 535.3639890628.

Adding to 153443136 its reverse (631344351), we get a palindrome (784787487).

The spelling of 153443136 in words is "one hundred fifty-three million, four hundred forty-three thousand, one hundred thirty-six".