125306790 has 64 divisors (see below), whose sum is σ = 353009664. Its totient is φ = 27865728.

The previous prime is 125306789. The next prime is 125306791. The reversal of 125306790 is 97603521.

It is an interprime number because it is at equal distance from previous prime (125306789) and next prime (125306791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125306791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294 + ... + 15833.

It is an arithmetic number, because the mean of its divisors is an integer number (5515776).

Almost surely, 2^125306790 is an apocalyptic number.

125306790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125306790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176504832).

125306790 is an abundant number, since it is smaller than the sum of its proper divisors (227702874).

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

125306790 is a wasteful number, since it uses less digits than its factorization.

125306790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16181.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 125306790 is about 11194.0515453521. The cubic root of 125306790 is about 500.4087191396.

The spelling of 125306790 in words is "one hundred twenty-five million, three hundred six thousand, seven hundred ninety".