125742949200 has 360 divisors, whose sum is σ = 487649163456. Its totient is φ = 29739264000.

The previous prime is 125742949151. The next prime is 125742949201. The reversal of 125742949200 is 2949247521.

125742949200 is a `hidden beast` number, since 12 + 5 + 7 + 429 + 4 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×125742949200² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125742949201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1584877 + ... + 1662323.

Almost surely, 2^125742949200 is an apocalyptic number.

125742949200 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 125742949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243824581728).

125742949200 is an abundant number, since it is smaller than the sum of its proper divisors (361906214256).

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

125742949200 is a wasteful number, since it uses less digits than its factorization.

125742949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77523 (or 77509 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 125742949200 in words is "one hundred twenty-five billion, seven hundred forty-two million, nine hundred forty-nine thousand, two hundred".