125416640 has 56 divisors (see below), whose sum is σ = 299770800. Its totient is φ = 49978368.

The previous prime is 125416637. The next prime is 125416657. The reversal of 125416640 is 46614521.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111119 + ... + 112241.

It is an arithmetic number, because the mean of its divisors is an integer number (5353050).

Almost surely, 2^125416640 is an apocalyptic number.

125416640 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 125416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149885400).

125416640 is an abundant number, since it is smaller than the sum of its proper divisors (174354160).

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

125416640 is a wasteful number, since it uses less digits than its factorization.

125416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 125416640 is about 11198.9570943012. The cubic root of 125416640 is about 500.5549039354.

The spelling of 125416640 in words is "one hundred twenty-five million, four hundred sixteen thousand, six hundred forty".