134977248 has 288 divisors, whose sum is σ = 475517952. Its totient is φ = 35481600.

The previous prime is 134977211. The next prime is 134977261. The reversal of 134977248 is 842779431.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (338688) is a multiple of the sum of its prime divisors (147).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1901053 + ... + 1901123.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^134977248 is an apocalyptic number.

134977248 is a gapful number since it is divisible by the number (18) 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 134977248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

134977248 is an abundant number, since it is smaller than the sum of its proper divisors (340540704).

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

134977248 is a wasteful number, since it uses less digits than its factorization.

134977248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

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

The square root of 134977248 is about 11617.9709071765. The cubic root of 134977248 is about 512.9639635893.

The spelling of 134977248 in words is "one hundred thirty-four million, nine hundred seventy-seven thousand, two hundred forty-eight".