125937424600 has 384 divisors, whose sum is σ = 353373632640. Its totient is φ = 41264087040.

The previous prime is 125937424511. The next prime is 125937424621. The reversal of 125937424600 is 6424739521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74210952 + ... + 74212648.

It is an arithmetic number, because the mean of its divisors is an integer number (920243835).

Almost surely, 2^125937424600 is an apocalyptic number.

125937424600 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 125937424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176686816320).

125937424600 is an abundant number, since it is smaller than the sum of its proper divisors (227436208040).

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

125937424600 is a wasteful number, since it uses less digits than its factorization.

125937424600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

It can be divided in two parts, 1 and 25937424600, that added together give a 10-th power (25937424601 = 11¹⁰).

The spelling of 125937424600 in words is "one hundred twenty-five billion, nine hundred thirty-seven million, four hundred twenty-four thousand, six hundred".