125337600000 has 684 divisors, whose sum is σ = 479200415148. Its totient is φ = 31457280000.

The previous prime is 125337599993. The next prime is 125337600007. The reversal of 125337600000 is 6733521.

It is a happy number.

125337600000 is a `hidden beast` number, since 1 + 2 + 53 + 3 + 7 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125337599993) and next prime (125337600007).

It can be written as a sum of positive squares in 6 ways, for example, as 87881416704 + 37456183296 = 296448^2 + 193536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125337600007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7372799992 + ... + 7372800008.

Almost surely, 2^125337600000 is an apocalyptic number.

125337600000 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 125337600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239600207574).

125337600000 is an abundant number, since it is smaller than the sum of its proper divisors (353862815148).

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

125337600000 is an frugal number, since it uses more digits than its factorization.

125337600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 125337600000 in words is "one hundred twenty-five billion, three hundred thirty-seven million, six hundred thousand".