125391240 has 240 divisors, whose sum is σ = 458360100. Its totient is φ = 30730752.

The previous prime is 125391223. The next prime is 125391247. The reversal of 125391240 is 42193521.

125391240 is a `hidden beast` number, since 1 + 2 + 539 + 124 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38118276 + 87272964 = 6174^2 + 9342^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125391247) 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 59 ways as a sum of consecutive naturals, for example, 547446 + ... + 547674.

Almost surely, 2^125391240 is an apocalyptic number.

125391240 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 125391240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229180050).

125391240 is an abundant number, since it is smaller than the sum of its proper divisors (332968860).

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

125391240 is a wasteful number, since it uses less digits than its factorization.

125391240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 125391240 is about 11197.8230027091. The cubic root of 125391240 is about 500.5211100333.

The spelling of 125391240 in words is "one hundred twenty-five million, three hundred ninety-one thousand, two hundred forty".