125196840 has 160 divisors (see below), whose sum is σ = 445749480. Its totient is φ = 31408128.

The previous prime is 125196793. The next prime is 125196847. The reversal of 125196840 is 48691521.

It can be written as a sum of positive squares in 4 ways, for example, as 124144164 + 1052676 = 11142^2 + 1026^2 .

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 = 125196795 and 125196804.

It is not an unprimeable number, because it can be changed into a prime (125196847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53944 + ... + 56216.

Almost surely, 2^125196840 is an apocalyptic number.

125196840 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 125196840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222874740).

125196840 is an abundant number, since it is smaller than the sum of its proper divisors (320552640).

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

125196840 is a wasteful number, since it uses less digits than its factorization.

125196840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 125196840 is about 11189.1393770924. The cubic root of 125196840 is about 500.2623156902.

The spelling of 125196840 in words is "one hundred twenty-five million, one hundred ninety-six thousand, eight hundred forty".