125340440736 has 384 divisors, whose sum is σ = 392607129600. Its totient is φ = 34276073472.

The previous prime is 125340440711. The next prime is 125340440759. The reversal of 125340440736 is 637044043521.

It is a junction number, because it is equal to n+sod(n) for n = 125340440694 and 125340440703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359141490 + ... + 359141838.

It is an arithmetic number, because the mean of its divisors is an integer number (1022414400).

Almost surely, 2^125340440736 is an apocalyptic number.

125340440736 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 125340440736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196303564800).

125340440736 is an abundant number, since it is smaller than the sum of its proper divisors (267266688864).

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

125340440736 is a wasteful number, since it uses less digits than its factorization.

125340440736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 125340440736 in words is "one hundred twenty-five billion, three hundred forty million, four hundred forty thousand, seven hundred thirty-six".