Base | Representation |
---|---|
bin | 111101100101011010… |
… | …1010101111110010000 |
3 | 110122100212110201001120 |
4 | 1323022311111332100 |
5 | 4131323003001034 |
6 | 140431123202240 |
7 | 12361220311305 |
oct | 1731265257620 |
9 | 418325421046 |
10 | 132252000144 |
11 | 510a6896180 |
12 | 2176ab16380 |
13 | c618611ab4 |
14 | 65886010ac |
15 | 3690902c49 |
hex | 1ecad55f90 |
132252000144 has 160 divisors (see below), whose sum is σ = 377055295488. Its totient is φ = 39610560000.
The previous prime is 132252000137. The next prime is 132252000151. The reversal of 132252000144 is 441000252231.
It is an interprime number because it is at equal distance from previous prime (132252000137) and next prime (132252000151).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36421209 + ... + 36424839.
Almost surely, 2132252000144 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 132252000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188527647744).
132252000144 is an abundant number, since it is smaller than the sum of its proper divisors (244803295344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132252000144 is a wasteful number, since it uses less digits than its factorization.
132252000144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4437 (or 4431 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 24.
Adding to 132252000144 its reverse (441000252231), we get a palindrome (573252252375).
The spelling of 132252000144 in words is "one hundred thirty-two billion, two hundred fifty-two million, one hundred forty-four", and thus it is an aban number.
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