125531616 has 96 divisors (see below), whose sum is σ = 378362880. Its totient is φ = 35698176.

The previous prime is 125531579. The next prime is 125531641. The reversal of 125531616 is 616135521.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246370 + ... + 246878.

It is an arithmetic number, because the mean of its divisors is an integer number (3941280).

Almost surely, 2^125531616 is an apocalyptic number.

125531616 is a gapful number since it is divisible by the number (16) 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 125531616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189181440).

125531616 is an abundant number, since it is smaller than the sum of its proper divisors (252831264).

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

125531616 is a wasteful number, since it uses less digits than its factorization.

125531616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 125531616 is about 11204.0892534824. The cubic root of 125531616 is about 500.7078188455.

The spelling of 125531616 in words is "one hundred twenty-five million, five hundred thirty-one thousand, six hundred sixteen".