125278944 has 96 divisors (see below), whose sum is σ = 385088256. Its totient is φ = 34913280.

The previous prime is 125278931. The next prime is 125278961. The reversal of 125278944 is 449872521.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (161280) is a multiple of the sum of its prime factors (4608).

It is a junction number, because it is equal to n+sod(n) for n = 125278896 and 125278905.

It is a congruent number.

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, 25279 + ... + 29825.

It is an arithmetic number, because the mean of its divisors is an integer number (4011336).

Almost surely, 2^125278944 is an apocalyptic number.

125278944 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 125278944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192544128).

125278944 is an abundant number, since it is smaller than the sum of its proper divisors (259809312).

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

125278944 is a wasteful number, since it uses less digits than its factorization.

125278944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4600 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 125278944 is about 11192.8076906556. The cubic root of 125278944 is about 500.3716490189.

The spelling of 125278944 in words is "one hundred twenty-five million, two hundred seventy-eight thousand, nine hundred forty-four".