125104603440 has 160 divisors (see below), whose sum is σ = 414704546496. Its totient is φ = 31087820800.

The previous prime is 125104603433. The next prime is 125104603441. The reversal of 125104603440 is 44306401521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 125104603398 and 125104603407.

It is not an unprimeable number, because it can be changed into a prime (125104603441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260284 + ... + 563876.

Almost surely, 2^125104603440 is an apocalyptic number.

125104603440 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 125104603440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207352273248).

125104603440 is an abundant number, since it is smaller than the sum of its proper divisors (289599943056).

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

125104603440 is a wasteful number, since it uses less digits than its factorization.

125104603440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303727 (or 303721 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 125104603440 in words is "one hundred twenty-five billion, one hundred four million, six hundred three thousand, four hundred forty".