Search a number
-
+
134138880 = 2103254171
BaseRepresentation
bin1111111111011…
…00110000000000
3100100101221221200
413333230300000
5233314421010
621151021200
73216106311
oct777546000
9310357850
10134138880
1169799587
1238b0a800
1321a37625
1413b5a608
15bb99cc0
hex7fecc00

134138880 has 264 divisors, whose sum is σ = 482829984. Its totient is φ = 34406400.

The previous prime is 134138869. The next prime is 134138881. The reversal of 134138880 is 88831431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134138881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889245 + ... + 1889315.

Almost surely, 2134138880 is an apocalyptic number.

134138880 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 134138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241414992).

134138880 is an abundant number, since it is smaller than the sum of its proper divisors (348691104).

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

134138880 is a wasteful number, since it uses less digits than its factorization.

134138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 134138880 is about 11581.8340516518. The cubic root of 134138880 is about 511.8997199438.

The spelling of 134138880 in words is "one hundred thirty-four million, one hundred thirty-eight thousand, eight hundred eighty".