125142720 has 112 divisors (see below), whose sum is σ = 404030688. Its totient is φ = 32808960.

The previous prime is 125142697. The next prime is 125142739. The reversal of 125142720 is 27241521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57492 + ... + 59628.

Almost surely, 2^125142720 is an apocalyptic number.

125142720 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 125142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202015344).

125142720 is an abundant number, since it is smaller than the sum of its proper divisors (278887968).

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

125142720 is a wasteful number, since it uses less digits than its factorization.

125142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 125142720 is about 11186.7206991146. The cubic root of 125142720 is about 500.1902209561.

It can be divided in two parts, 125 and 142720, that added together give a triangular number (142845 = T₅₃₄).

The spelling of 125142720 in words is "one hundred twenty-five million, one hundred forty-two thousand, seven hundred twenty".