125293740 has 192 divisors, whose sum is σ = 436907520. Its totient is φ = 26357760.

The previous prime is 125293739. The next prime is 125293759. The reversal of 125293740 is 47392521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145431 + ... + 146289.

It is an arithmetic number, because the mean of its divisors is an integer number (2275560).

Almost surely, 2^125293740 is an apocalyptic number.

125293740 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 125293740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218453760).

125293740 is an abundant number, since it is smaller than the sum of its proper divisors (311613780).

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

125293740 is a wasteful number, since it uses less digits than its factorization.

125293740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 125293740 is about 11193.4686313046. The cubic root of 125293740 is about 500.3913469486.

The spelling of 125293740 in words is "one hundred twenty-five million, two hundred ninety-three thousand, seven hundred forty".