125604540 has 96 divisors (see below), whose sum is σ = 393442560. Its totient is φ = 33265728.

The previous prime is 125604461. The next prime is 125604571. The reversal of 125604540 is 45406521.

125604540 is a `hidden beast` number, since 1 + 2 + 5 + 604 + 54 + 0 = 666.

It is a super-3 number, since 3×125604540³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 87307 + ... + 88733.

It is an arithmetic number, because the mean of its divisors is an integer number (4098360).

Almost surely, 2^125604540 is an apocalyptic number.

125604540 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 125604540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196721280).

125604540 is an abundant number, since it is smaller than the sum of its proper divisors (267838020).

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

125604540 is a wasteful number, since it uses less digits than its factorization.

125604540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 125604540 is about 11207.3431285028. The cubic root of 125604540 is about 500.8047573696.

The spelling of 125604540 in words is "one hundred twenty-five million, six hundred four thousand, five hundred forty".