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153131132 = 22711541919
BaseRepresentation
bin10010010000010…
…01100001111100
3101200010212102102
421020021201330
5303200144012
623110044232
73536410310
oct1110114174
9350125372
10153131132
1179490760
1243349678
132595714b
14164a1b40
15d69c2c2
hex920987c

153131132 has 48 divisors (see below), whose sum is σ = 335086080. Its totient is φ = 59486400.

The previous prime is 153131129. The next prime is 153131141. The reversal of 153131132 is 231131351.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 166169 + ... + 167087.

It is an arithmetic number, because the mean of its divisors is an integer number (6980960).

Almost surely, 2153131132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167543040).

153131132 is an abundant number, since it is smaller than the sum of its proper divisors (181954948).

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

153131132 is a wasteful number, since it uses less digits than its factorization.

153131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1480 counting only the distinct ones).

The product of its digits is 270, while the sum is 20.

The square root of 153131132 is about 12374.6164385002. The cubic root of 153131132 is about 535.0008815894. Note that the first 3 decimals are identical.

Adding to 153131132 its reverse (231131351), we get a palindrome (384262483).

The spelling of 153131132 in words is "one hundred fifty-three million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 541 919 1082 1838 2164 3676 3787 5951 6433 7574 10109 11902 12866 15148 20218 23804 25732 40436 41657 70763 83314 141526 166628 283052 497179 994358 1988716 3480253 5468969 6960506 10937938 13921012 21875876 38282783 76565566 153131132