125633455038 has 144 divisors (see below), whose sum is σ = 352006252416. Its totient is φ = 32065165440.

The previous prime is 125633455037. The next prime is 125633455081. The reversal of 125633455038 is 830554336521.

125633455038 is a `hidden beast` number, since 1 + 2 + 5 + 63 + 3 + 4 + 550 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 125633454984 and 125633455002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125633455037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 178720 + ... + 532172.

It is an arithmetic number, because the mean of its divisors is an integer number (2444487864).

Almost surely, 2^125633455038 is an apocalyptic number.

125633455038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125633455038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176003126208).

125633455038 is an abundant number, since it is smaller than the sum of its proper divisors (226372797378).

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

125633455038 is a wasteful number, since it uses less digits than its factorization.

125633455038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353519 (or 353509 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 125633455038 in words is "one hundred twenty-five billion, six hundred thirty-three million, four hundred fifty-five thousand, thirty-eight".