125032544 has 48 divisors (see below), whose sum is σ = 302970528. Its totient is φ = 49462272.

The previous prime is 125032529. The next prime is 125032547. The reversal of 125032544 is 445230521.

It is a happy number.

It is a super-2 number, since 2×125032544² = 31266274118223872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125032547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18557 + ... + 24380.

It is an arithmetic number, because the mean of its divisors is an integer number (6311886).

Almost surely, 2^125032544 is an apocalyptic number.

125032544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

125032544 is an abundant number, since it is smaller than the sum of its proper divisors (177937984).

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

125032544 is a wasteful number, since it uses less digits than its factorization.

125032544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42967 (or 42959 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 125032544 is about 11181.7952047066. The cubic root of 125032544 is about 500.0433882348.

The spelling of 125032544 in words is "one hundred twenty-five million, thirty-two thousand, five hundred forty-four".