Search a number
-
+
134997408 = 253371317101
BaseRepresentation
bin10000000101111…
…10010110100000
3100102000120122000
420002332112200
5234024404113
621221244000
73226313310
oct1002762640
9312016560
10134997408
116a225607
1239263600
1321c78330
1413d01440
15bcb9373
hex80be5a0

134997408 has 384 divisors, whose sum is σ = 518192640. Its totient is φ = 33177600.

The previous prime is 134997383. The next prime is 134997409. The reversal of 134997408 is 804799431.

It is not an unprimeable number, because it can be changed into a prime (134997409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1336558 + ... + 1336658.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2134997408 is an apocalyptic number.

134997408 is a gapful number since it is divisible by the number (18) 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 134997408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

134997408 is an abundant number, since it is smaller than the sum of its proper divisors (383195232).

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

134997408 is a wasteful number, since it uses less digits than its factorization.

134997408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 134997408 is about 11618.8384961665. The cubic root of 134997408 is about 512.9895008282.

The spelling of 134997408 in words is "one hundred thirty-four million, nine hundred ninety-seven thousand, four hundred eight".