134479872 has 152 divisors (see below), whose sum is σ = 419429600. Its totient is φ = 42467328.

The previous prime is 134479871. The next prime is 134479879. The reversal of 134479872 is 278974431.

It is a tau number, because it is divible by the number of its divisors (152).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 134479872 = 64³ + 512³ = 288³ + 480³.

Its product of digits (338688) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (134479871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7077879 + ... + 7077897.

Almost surely, 2^134479872 is an apocalyptic number.

134479872 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 134479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209714800).

134479872 is an abundant number, since it is smaller than the sum of its proper divisors (284949728).

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

134479872 is an frugal number, since it uses more digits than its factorization.

134479872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 24 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 134479872 is about 11596.5456925759. The cubic root of 134479872 is about 512.3331165546. Note that the first 3 decimals are identical.

The spelling of 134479872 in words is "one hundred thirty-four million, four hundred seventy-nine thousand, eight hundred seventy-two".