125544096 has 72 divisors (see below), whose sum is σ = 375822720. Its totient is φ = 39643776.

The previous prime is 125544061. The next prime is 125544101. The reversal of 125544096 is 690445521.

125544096 is a `hidden beast` number, since 1 + 25 + 544 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×125544096² = 31522640080914432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125544096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6000 + ... + 16943.

It is an arithmetic number, because the mean of its divisors is an integer number (5219760).

Almost surely, 2^125544096 is an apocalyptic number.

125544096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125544096 is an abundant number, since it is smaller than the sum of its proper divisors (250278624).

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

125544096 is a wasteful number, since it uses less digits than its factorization.

125544096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22978 (or 22967 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 125544096 is about 11204.6461791526. The cubic root of 125544096 is about 500.7244112831.

The spelling of 125544096 in words is "one hundred twenty-five million, five hundred forty-four thousand, ninety-six".