134814624 has 96 divisors (see below), whose sum is σ = 428270976. Its totient is φ = 36249600.

The previous prime is 134814613. The next prime is 134814637. The reversal of 134814624 is 426418431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×134814624² = 36349965688522752, which contains 22 as substring.

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

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, 5524 + ... + 17324.

It is an arithmetic number, because the mean of its divisors is an integer number (4461156).

Almost surely, 2^134814624 is an apocalyptic number.

134814624 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 134814624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214135488).

134814624 is an abundant number, since it is smaller than the sum of its proper divisors (293456352).

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

134814624 is a wasteful number, since it uses less digits than its factorization.

134814624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838 (or 11830 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 134814624 is about 11610.9699853199. The cubic root of 134814624 is about 512.7578701486.

The spelling of 134814624 in words is "one hundred thirty-four million, eight hundred fourteen thousand, six hundred twenty-four".