134638752 has 96 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 43130880.

The previous prime is 134638741. The next prime is 134638753. The reversal of 134638752 is 257836431.

134638752 is nontrivially palindromic in base 11.

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

It is a super-4 number, since 4×134638752⁴ (a number of 34 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134638752.

It is not an unprimeable number, because it can be changed into a prime (134638753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310728 + ... + 311160.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2^134638752 is an apocalyptic number.

134638752 is a gapful number since it is divisible by the number (12) 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 134638752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

134638752 is an abundant number, since it is smaller than the sum of its proper divisors (232837728).

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

134638752 is a wasteful number, since it uses less digits than its factorization.

134638752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 134638752 is about 11603.3939862439. The cubic root of 134638752 is about 512.5348008889.

The spelling of 134638752 in words is "one hundred thirty-four million, six hundred thirty-eight thousand, seven hundred fifty-two".