125647368000 has 1008 divisors, whose sum is σ = 531088713792. Its totient is φ = 26078976000.

The previous prime is 125647367987. The next prime is 125647368019. The reversal of 125647368000 is 863746521.

It is a super-2 number, since 2×125647368000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142295559 + ... + 142296441.

It is an arithmetic number, because the mean of its divisors is an integer number (526873724).

Almost surely, 2^125647368000 is an apocalyptic number.

125647368000 is a gapful number since it is divisible by the number (10) 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 125647368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265544356896).

125647368000 is an abundant number, since it is smaller than the sum of its proper divisors (405441345792).

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

125647368000 is a wasteful number, since it uses less digits than its factorization.

125647368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 125647368000 in words is "one hundred twenty-five billion, six hundred forty-seven million, three hundred sixty-eight thousand".