125235600 has 240 divisors, whose sum is σ = 486004608. Its totient is φ = 26910720.

The previous prime is 125235599. The next prime is 125235611. The reversal of 125235600 is 6532521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142362 + ... + 143238.

Almost surely, 2^125235600 is an apocalyptic number.

125235600 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 125235600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243002304).

125235600 is an abundant number, since it is smaller than the sum of its proper divisors (360769008).

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

125235600 is a wasteful number, since it uses less digits than its factorization.

125235600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 125235600 is about 11190.8712797530. The cubic root of 125235600 is about 500.3139361802.

The spelling of 125235600 in words is "one hundred twenty-five million, two hundred thirty-five thousand, six hundred".