125456544 has 144 divisors (see below), whose sum is σ = 380933280. Its totient is φ = 39052800.

The previous prime is 125456521. The next prime is 125456587. The reversal of 125456544 is 445654521.

125456544 is a `hidden beast` number, since 1 + 2 + 54 + 565 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125456499 and 125456508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552559 + ... + 552785.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^125456544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125456544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

125456544 is an abundant number, since it is smaller than the sum of its proper divisors (255476736).

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

125456544 is a wasteful number, since it uses less digits than its factorization.

125456544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 125456544 is about 11200.7385470780. The cubic root of 125456544 is about 500.6079857404.

It can be divided in two parts, 12 and 5456544, that added together give a triangular number (5456556 = T₃₃₀₃).

The spelling of 125456544 in words is "one hundred twenty-five million, four hundred fifty-six thousand, five hundred forty-four".