134624440 has 64 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 52567680.

The previous prime is 134624437. The next prime is 134624461. The reversal of 134624440 is 44426431.

It is a junction number, because it is equal to n+sod(n) for n = 134624399 and 134624408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511749 + ... + 512011.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2^134624440 is an apocalyptic number.

134624440 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 134624440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

134624440 is an abundant number, since it is smaller than the sum of its proper divisors (175586120).

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

134624440 is a wasteful number, since it uses less digits than its factorization.

134624440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 134624440 is about 11602.7772537440. Note that the first 3 decimals coincide. The cubic root of 134624440 is about 512.5166395549.

The spelling of 134624440 in words is "one hundred thirty-four million, six hundred twenty-four thousand, four hundred forty".