134738240 has 168 divisors, whose sum is σ = 402546312. Its totient is φ = 42577920.

The previous prime is 134738239. The next prime is 134738269. The reversal of 134738240 is 42837431.

It can be written as a sum of positive squares in 4 ways, for example, as 10549504 + 124188736 = 3248^2 + 11144^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 134738197 and 134738206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203510 + ... + 204170.

It is an arithmetic number, because the mean of its divisors is an integer number (2396109).

Almost surely, 2^134738240 is an apocalyptic number.

134738240 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 134738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201273156).

134738240 is an abundant number, since it is smaller than the sum of its proper divisors (267808072).

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

134738240 is a wasteful number, since it uses less digits than its factorization.

134738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 134738240 is about 11607.6802161328. The cubic root of 134738240 is about 512.6610114762.

The spelling of 134738240 in words is "one hundred thirty-four million, seven hundred thirty-eight thousand, two hundred forty".