134240400 has 270 divisors, whose sum is σ = 542620962. Its totient is φ = 30643200.

The previous prime is 134240369. The next prime is 134240401. The reversal of 134240400 is 4042431.

It can be written as a sum of positive squares in 3 ways, for example, as 1806336 + 132434064 = 1344^2 + 11508^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134240401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176020 + ... + 176780.

Almost surely, 2^134240400 is an apocalyptic number.

134240400 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 134240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271310481).

134240400 is an abundant number, since it is smaller than the sum of its proper divisors (408380562).

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

134240400 is a wasteful number, since it uses less digits than its factorization.

134240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 134240400 is about 11586.2159482723. The cubic root of 134240400 is about 512.0288273157.

Adding to 134240400 its reverse (4042431), we get a palindrome (138282831).

The spelling of 134240400 in words is "one hundred thirty-four million, two hundred forty thousand, four hundred".