125941840 has 80 divisors (see below), whose sum is σ = 309551616. Its totient is φ = 47577600.

The previous prime is 125941819. The next prime is 125941841. The reversal of 125941840 is 48149521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×125941840² = 31722694125171200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125941796 and 125941805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125941841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106050 + ... + 107230.

Almost surely, 2^125941840 is an apocalyptic number.

125941840 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 125941840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154775808).

125941840 is an abundant number, since it is smaller than the sum of its proper divisors (183609776).

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

125941840 is a wasteful number, since it uses less digits than its factorization.

125941840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 125941840 is about 11222.3812089948. The cubic root of 125941840 is about 501.2526458029.

The spelling of 125941840 in words is "one hundred twenty-five million, nine hundred forty-one thousand, eight hundred forty".