125537104 has 160 divisors (see below), whose sum is σ = 331407360. Its totient is φ = 44582400.

The previous prime is 125537099. The next prime is 125537147. The reversal of 125537104 is 401735521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725562 + ... + 725734.

It is an arithmetic number, because the mean of its divisors is an integer number (2071296).

Almost surely, 2^125537104 is an apocalyptic number.

125537104 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 125537104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165703680).

125537104 is an abundant number, since it is smaller than the sum of its proper divisors (205870256).

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

125537104 is a wasteful number, since it uses less digits than its factorization.

125537104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 125537104 is about 11204.3341613859. The cubic root of 125537104 is about 500.7151153990.

The spelling of 125537104 in words is "one hundred twenty-five million, five hundred thirty-seven thousand, one hundred four".