134394624 has 216 divisors, whose sum is σ = 477658272. Its totient is φ = 35389440.

The previous prime is 134394587. The next prime is 134394643. The reversal of 134394624 is 426493431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209344 + ... + 209984.

Almost surely, 2^134394624 is an apocalyptic number.

134394624 is a gapful number since it is divisible by the number (14) 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 134394624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238829136).

134394624 is an abundant number, since it is smaller than the sum of its proper divisors (343263648).

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

134394624 is a wasteful number, since it uses less digits than its factorization.

134394624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 666 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 134394624 is about 11592.8695326049. The cubic root of 134394624 is about 512.2248361484.

The spelling of 134394624 in words is "one hundred thirty-four million, three hundred ninety-four thousand, six hundred twenty-four".