| Base | Representation |
|---|---|
| bin | 1111101011011… |
| … | …01101010000000 |
| 3 | 100011110222002210 |
| 4 | 13311231222000 |
| 5 | 232132134102 |
| 6 | 21014542120 |
| 7 | 3154624410 |
| oct | 765555200 |
| 9 | 304428083 |
| 10 | 131521152 |
| 11 | 68270874 |
| 12 | 38067940 |
| 13 | 2132bc89 |
| 14 | 13678640 |
| 15 | b82e36c |
| hex | 7d6da80 |
131521152 has 128 divisors (see below), whose sum is σ = 403724160. Its totient is φ = 37158912.
The previous prime is 131521147. The next prime is 131521157. The reversal of 131521152 is 251125131.
It is an interprime number because it is at equal distance from previous prime (131521147) and next prime (131521157).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nialpdrome in base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131521157) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303528 + ... + 303960.
It is an arithmetic number, because the mean of its divisors is an integer number (3154095).
Almost surely, 2131521152 is an apocalyptic number.
131521152 is a gapful number since it is divisible by the number (12) 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 131521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201862080).
131521152 is an abundant number, since it is smaller than the sum of its proper divisors (272203008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131521152 is a wasteful number, since it uses less digits than its factorization.
131521152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 570 (or 558 counting only the distinct ones).
The product of its digits is 300, while the sum is 21.
The square root of 131521152 is about 11468.2671751228. The cubic root of 131521152 is about 508.5479032769.
Adding to 131521152 its reverse (251125131), we get a palindrome (382646283).
The spelling of 131521152 in words is "one hundred thirty-one million, five hundred twenty-one thousand, one hundred fifty-two".
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