Search a number
-
+
134208900 = 2236527263
BaseRepresentation
bin1111111111111…
…01110110000100
3100100112112000000
413333331312010
5233324141100
621152321300
73216520410
oct777756604
9310475000
10134208900
1169837151
1238b43230
1321a60467
1413b77d40
15bbb0900
hex7ffdd84

134208900 has 252 divisors, whose sum is σ = 500926272. Its totient is φ = 30559680.

The previous prime is 134208883. The next prime is 134208911. The reversal of 134208900 is 9802431.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 510169 + ... + 510431.

Almost surely, 2134208900 is an apocalyptic number.

134208900 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 134208900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250463136).

134208900 is an abundant number, since it is smaller than the sum of its proper divisors (366717372).

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

134208900 is a wasteful number, since it uses less digits than its factorization.

134208900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 134208900 is about 11584.8564945795. The cubic root of 134208900 is about 511.9887743714.

The spelling of 134208900 in words is "one hundred thirty-four million, two hundred eight thousand, nine hundred".