125077344 has 96 divisors (see below), whose sum is σ = 376992000. Its totient is φ = 35569152.

The previous prime is 125077331. The next prime is 125077349. The reversal of 125077344 is 443770521.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125077349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250407 + ... + 250905.

It is an arithmetic number, because the mean of its divisors is an integer number (3927000).

Almost surely, 2^125077344 is an apocalyptic number.

125077344 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 125077344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188496000).

125077344 is an abundant number, since it is smaller than the sum of its proper divisors (251914656).

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

125077344 is a wasteful number, since it uses less digits than its factorization.

125077344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 125077344 is about 11183.7982814427. The cubic root of 125077344 is about 500.1031040710.

The spelling of 125077344 in words is "one hundred twenty-five million, seventy-seven thousand, three hundred forty-four".