125289313488 has 200 divisors, whose sum is σ = 379511656128. Its totient is φ = 39828907008.

The previous prime is 125289313453. The next prime is 125289313537. The reversal of 125289313488 is 884313982521.

125289313488 is a `hidden beast` number, since 1 + 2 + 5 + 289 + 313 + 48 + 8 = 666.

It is a super-2 number, since 2×125289313488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 10337320 + ... + 10349432.

Almost surely, 2^125289313488 is an apocalyptic number.

125289313488 is a gapful number since it is divisible by the number (18) 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 125289313488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189755828064).

125289313488 is an abundant number, since it is smaller than the sum of its proper divisors (254222342640).

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

125289313488 is a wasteful number, since it uses less digits than its factorization.

125289313488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12503 (or 12488 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 125289313488 in words is "one hundred twenty-five billion, two hundred eighty-nine million, three hundred thirteen thousand, four hundred eighty-eight".