Search a number
-
+
132120014400 = 263252113722543
BaseRepresentation
bin111101100001011110…
…1110110111001000000
3110122000200010010122200
41323002331312321000
54131040210430100
6140410050233200
712355025410233
oct1730275667100
9418020103580
10132120014400
1151039338350
1221732885800
13c5c717c51a
146574c8541a
153684030e00
hex1ec2f76e40

132120014400 has 504 divisors, whose sum is σ = 526143955584. Its totient is φ = 31162060800.

The previous prime is 132120014399. The next prime is 132120014407. The reversal of 132120014400 is 4410021231.

132120014400 is a `hidden beast` number, since 1 + 3 + 21 + 200 + 1 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132120014407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5849529 + ... + 5872071.

Almost surely, 2132120014400 is an apocalyptic number.

132120014400 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 132120014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263071977792).

132120014400 is an abundant number, since it is smaller than the sum of its proper divisors (394023941184).

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

132120014400 is a wasteful number, since it uses less digits than its factorization.

132120014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22619 (or 22601 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132120014400 its reverse (4410021231), we get a palindrome (136530035631).

The spelling of 132120014400 in words is "one hundred thirty-two billion, one hundred twenty million, fourteen thousand, four hundred".