Search a number
-
+
132925867200 = 263252723159103
BaseRepresentation
bin111101111001011111…
…1111100010011000000
3110201002211110200212200
41323302333330103000
54134213010222300
6141022034353200
712414012141300
oct1736277742300
9421084420780
10132925867200
11514122064a5
122191872b800
13c6c51013b9
14660dcd5600
1536ceb62200
hex1ef2ffc4c0

132925867200 has 1512 divisors, whose sum is σ = 582529858560. Its totient is φ = 28623974400.

The previous prime is 132925867183. The next prime is 132925867201. The reversal of 132925867200 is 2768529231.

132925867200 is a `hidden beast` number, since 1 + 329 + 258 + 6 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (132925867201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1290542349 + ... + 1290542451.

Almost surely, 2132925867200 is an apocalyptic number.

132925867200 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 132925867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291264929280).

132925867200 is an abundant number, since it is smaller than the sum of its proper divisors (449603991360).

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

132925867200 is a wasteful number, since it uses less digits than its factorization.

132925867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 132925867200 in words is "one hundred thirty-two billion, nine hundred twenty-five million, eight hundred sixty-seven thousand, two hundred".