125531100 has 144 divisors (see below), whose sum is σ = 424972800. Its totient is φ = 31700160.

The previous prime is 125531093. The next prime is 125531101. The reversal of 125531100 is 1135521.

125531100 is a `hidden beast` number, since 1 + 2 + 553 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125531101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50077 + ... + 52523.

It is an arithmetic number, because the mean of its divisors is an integer number (2951200).

Almost surely, 2^125531100 is an apocalyptic number.

125531100 is a gapful number since it is divisible by the number (10) 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 125531100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

125531100 is an abundant number, since it is smaller than the sum of its proper divisors (299441700).

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

125531100 is a wasteful number, since it uses less digits than its factorization.

125531100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 125531100 is about 11204.0662261520. The cubic root of 125531100 is about 500.7071327883.

Adding to 125531100 its reverse (1135521), we get a palindrome (126666621).

The spelling of 125531100 in words is "one hundred twenty-five million, five hundred thirty-one thousand, one hundred".