125098000 has 40 divisors (see below), whose sum is σ = 302491800. Its totient is φ = 50038400.

The previous prime is 125097979. The next prime is 125098009. The reversal of 125098000 is 890521.

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 122235136 = 1692^2 + 11056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (125098009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29275 + ... + 33274.

It is an arithmetic number, because the mean of its divisors is an integer number (7562295).

Almost surely, 2^125098000 is an apocalyptic number.

125098000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125098000 is an abundant number, since it is smaller than the sum of its proper divisors (177393800).

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

125098000 is an equidigital number, since it uses as much as digits as its factorization.

125098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62572 (or 62556 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 125098000 is about 11184.7217220635. The cubic root of 125098000 is about 500.1306325340.

The spelling of 125098000 in words is "one hundred twenty-five million, ninety-eight thousand".