125367607400000 has 252 divisors, whose sum is σ = 361717992105876. Its totient is φ = 42983176320000.

The previous prime is 125367607399939. The next prime is 125367607400011. The reversal of 125367607400000 is 4706763521.

It can be written as a sum of positive squares in 6 ways, for example, as 79659623450176 + 45707983949824 = 8925224^2 + 6760768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3403694 + ... + 16196306.

It is an arithmetic number, because the mean of its divisors is an integer number (1435388857563).

Almost surely, 2^{125367607400000} is an apocalyptic number.

125367607400000 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 125367607400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180858996052938).

125367607400000 is an abundant number, since it is smaller than the sum of its proper divisors (236350384705876).

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

125367607400000 is an frugal number, since it uses more digits than its factorization.

125367607400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12792664 (or 12792627 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 125367607400000 in words is "one hundred twenty-five trillion, three hundred sixty-seven billion, six hundred seven million, four hundred thousand".