134154000 has 240 divisors, whose sum is σ = 486598320. Its totient is φ = 34406400.

The previous prime is 134153993. The next prime is 134154001. The reversal of 134154000 is 451431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9072144 + 125081856 = 3012^2 + 11184^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (134154001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521872 + ... + 522128.

It is an arithmetic number, because the mean of its divisors is an integer number (2027493).

Almost surely, 2^134154000 is an apocalyptic number.

134154000 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 134154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243299160).

134154000 is an abundant number, since it is smaller than the sum of its proper divisors (352444320).

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

134154000 is a wasteful number, since it uses less digits than its factorization.

134154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 134154000 is about 11582.4867796169. The cubic root of 134154000 is about 511.9189528288.

The spelling of 134154000 in words is "one hundred thirty-four million, one hundred fifty-four thousand".