125500144 has 160 divisors (see below), whose sum is σ = 326836224. Its totient is φ = 45239040.

The previous prime is 125500127. The next prime is 125500157. The reversal of 125500144 is 441005521.

It is a super-2 number, since 2×125500144² = 31500572288041472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 1218397 + ... + 1218499.

Almost surely, 2^125500144 is an apocalyptic number.

125500144 is a gapful number since it is divisible by the number (14) 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 125500144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163418112).

125500144 is an abundant number, since it is smaller than the sum of its proper divisors (201336080).

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

125500144 is a wasteful number, since it uses less digits than its factorization.

125500144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 125500144 is about 11202.6846782367. The cubic root of 125500144 is about 500.6659712375.

Adding to 125500144 its reverse (441005521), we get a palindrome (566505665).

The spelling of 125500144 in words is "one hundred twenty-five million, five hundred thousand, one hundred forty-four".