125741869200 has 180 divisors, whose sum is σ = 438576709428. Its totient is φ = 33360768000.

The previous prime is 125741869171. The next prime is 125741869271. The reversal of 125741869200 is 2968147521.

125741869200 is a `hidden beast` number, since 1 + 2 + 574 + 18 + 69 + 2 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 354601²-1.

It can be written as a sum of positive squares in 6 ways, for example, as 697593744 + 125044275456 = 26412^2 + 353616^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×125741869200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 620550 + ... + 797850.

Almost surely, 2^125741869200 is an apocalyptic number.

125741869200 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 125741869200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219288354714).

125741869200 is an abundant number, since it is smaller than the sum of its proper divisors (312834840228).

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

125741869200 is a wasteful number, since it uses less digits than its factorization.

125741869200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177522 (or 177508 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 125741869200 in words is "one hundred twenty-five billion, seven hundred forty-one million, eight hundred sixty-nine thousand, two hundred".