125089410 has 64 divisors (see below), whose sum is σ = 315187200. Its totient is φ = 31711680.

The previous prime is 125089399. The next prime is 125089421. The reversal of 125089410 is 14980521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125089399) and next prime (125089421).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136855 + ... + 137765.

It is an arithmetic number, because the mean of its divisors is an integer number (4924800).

Almost surely, 2^125089410 is an apocalyptic number.

125089410 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 125089410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157593600).

125089410 is an abundant number, since it is smaller than the sum of its proper divisors (190097790).

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

125089410 is a wasteful number, since it uses less digits than its factorization.

125089410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 125089410 is about 11184.3377094936. The cubic root of 125089410 is about 500.1191849210.

The spelling of 125089410 in words is "one hundred twenty-five million, eighty-nine thousand, four hundred ten".