125280792 has 96 divisors (see below), whose sum is σ = 417624480. Its totient is φ = 33039360.

The previous prime is 125280787. The next prime is 125280797. The reversal of 125280792 is 297082521.

It is an interprime number because it is at equal distance from previous prime (125280787) and next prime (125280797).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125280797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3009 + ... + 16112.

It is an arithmetic number, because the mean of its divisors is an integer number (4350255).

Almost surely, 2^125280792 is an apocalyptic number.

125280792 is a gapful number since it is divisible by the number (12) 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 125280792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208812240).

125280792 is an abundant number, since it is smaller than the sum of its proper divisors (292343688).

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

125280792 is a wasteful number, since it uses less digits than its factorization.

125280792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19153 (or 19146 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 125280792 is about 11192.8902433643. The cubic root of 125280792 is about 500.3741093479.

It can be divided in two parts, 12 and 5280792, that added together give a square (5280804 = 2298²).

The spelling of 125280792 in words is "one hundred twenty-five million, two hundred eighty thousand, seven hundred ninety-two".