125550456192 has 576 divisors, whose sum is σ = 440295382800. Its totient is φ = 35554111488.

The previous prime is 125550456191. The next prime is 125550456223. The reversal of 125550456192 is 291654055521.

125550456192 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 5 + 0 + 456 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×125550456192² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125550456191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1111065928 + ... + 1111066040.

Almost surely, 2^125550456192 is an apocalyptic number.

125550456192 is a gapful number since it is divisible by the number (12) 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 125550456192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147691400).

125550456192 is an abundant number, since it is smaller than the sum of its proper divisors (314744926608).

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

125550456192 is an frugal number, since it uses more digits than its factorization.

125550456192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 125550456192 in words is "one hundred twenty-five billion, five hundred fifty million, four hundred fifty-six thousand, one hundred ninety-two".