125927424 has 192 divisors, whose sum is σ = 422569680. Its totient is φ = 35389440.

The previous prime is 125927407. The next prime is 125927471. The reversal of 125927424 is 424729521.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×125927424² = 31715432230551552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2064354 + ... + 2064414.

Almost surely, 2^125927424 is an apocalyptic number.

125927424 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 125927424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211284840).

125927424 is an abundant number, since it is smaller than the sum of its proper divisors (296642256).

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

125927424 is an frugal number, since it uses more digits than its factorization.

125927424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 125927424 is about 11221.7389026835. The cubic root of 125927424 is about 501.2335196892.

The spelling of 125927424 in words is "one hundred twenty-five million, nine hundred twenty-seven thousand, four hundred twenty-four".