125544816 has 100 divisors (see below), whose sum is σ = 368618272. Its totient is φ = 41243904.

The previous prime is 125544773. The next prime is 125544817. The reversal of 125544816 is 618445521.

It is a happy number.

125544816 is a `hidden beast` number, since 125 + 54 + 481 + 6 = 666.

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 (125544817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93945 + ... + 95271.

Almost surely, 2^125544816 is an apocalyptic number.

125544816 is a gapful number since it is divisible by the number (16) 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 125544816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184309136).

125544816 is an abundant number, since it is smaller than the sum of its proper divisors (243073456).

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

125544816 is a wasteful number, since it uses less digits than its factorization.

125544816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1405 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 125544816 is about 11204.6783086352. The cubic root of 125544816 is about 500.7253685055.

The spelling of 125544816 in words is "one hundred twenty-five million, five hundred forty-four thousand, eight hundred sixteen".