125948844 has 144 divisors (see below), whose sum is σ = 383056128. Its totient is φ = 35443008.

The previous prime is 125948833. The next prime is 125948857. The reversal of 125948844 is 448849521.

125948844 is a `hidden beast` number, since 12 + 594 + 8 + 8 + 44 = 666.

It is a super-2 number, since 2×125948844² = 31726222609872672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 125948844.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727942 + ... + 728114.

It is an arithmetic number, because the mean of its divisors is an integer number (2660112).

Almost surely, 2^125948844 is an apocalyptic number.

125948844 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 125948844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191528064).

125948844 is an abundant number, since it is smaller than the sum of its proper divisors (257107284).

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

125948844 is a wasteful number, since it uses less digits than its factorization.

125948844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 125948844 is about 11222.6932596414. The cubic root of 125948844 is about 501.2619376804.

The spelling of 125948844 in words is "one hundred twenty-five million, nine hundred forty-eight thousand, eight hundred forty-four".