125906440 has 64 divisors (see below), whose sum is σ = 314176320. Its totient is φ = 45024000.

The previous prime is 125906411. The next prime is 125906461. The reversal of 125906440 is 44609521.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24495 + ... + 29185.

It is an arithmetic number, because the mean of its divisors is an integer number (4909005).

Almost surely, 2^125906440 is an apocalyptic number.

125906440 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 125906440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157088160).

125906440 is an abundant number, since it is smaller than the sum of its proper divisors (188269880).

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

125906440 is a wasteful number, since it uses less digits than its factorization.

125906440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 125906440 is about 11220.8038927699. The cubic root of 125906440 is about 501.2056770157.

The spelling of 125906440 in words is "one hundred twenty-five million, nine hundred six thousand, four hundred forty".