124889040 has 100 divisors (see below), whose sum is σ = 433780644. Its totient is φ = 33302016.

The previous prime is 124889029. The next prime is 124889059. The reversal of 124889040 is 40988421.

It can be written as a sum of positive squares in 2 ways, for example, as 63297936 + 61591104 = 7956^2 + 7848^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 124888986 and 124889004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3157 + ... + 16116.

Almost surely, 2^124889040 is an apocalyptic number.

124889040 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 124889040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216890322).

124889040 is an abundant number, since it is smaller than the sum of its proper divisors (308891604).

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

124889040 is a wasteful number, since it uses less digits than its factorization.

124889040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19298 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 124889040 is about 11175.3765037246. The cubic root of 124889040 is about 499.8520095353.

It can be divided in two parts, 12488 and 9040, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 124889040 in words is "one hundred twenty-four million, eight hundred eighty-nine thousand, forty".