Search a number
-
+
132144031552000 = 295313208776103
BaseRepresentation
bin11110000010111100101110…
…000011110101001000000000
3122022212211211202122002010211
4132002330232003311020000
5114310021434034131000
61145014044031003504
736556043201203666
oct3602745603651000
9568784752562124
10132144031552000
1139117a72906906
12129a2494969594
1358971899c9470
14248bb3b884c36
1510425821a17ba
hex782f2e0f5200

132144031552000 has 320 divisors, whose sum is σ = 355030975563264. Its totient is φ = 48767622758400.

The previous prime is 132144031551971. The next prime is 132144031552009. The reversal of 132144031552000 is 255130441231.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (132144031552009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1736345949 + ... + 1736422051.

Almost surely, 2132144031552000 is an apocalyptic number.

132144031552000 is a gapful number since it is divisible by the number (10) 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 132144031552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515487781632).

132144031552000 is an abundant number, since it is smaller than the sum of its proper divisors (222886944011264).

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

132144031552000 is an equidigital number, since it uses as much as digits as its factorization.

132144031552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78236 (or 78210 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 132144031552000 its reverse (255130441231), we get a palindrome (132399161993231).

The spelling of 132144031552000 in words is "one hundred thirty-two trillion, one hundred forty-four billion, thirty-one million, five hundred fifty-two thousand".