125149550400 has 756 divisors, whose sum is σ = 531645298912. Its totient is φ = 27350231040.

The previous prime is 125149550381. The next prime is 125149550453. The reversal of 125149550400 is 4055941521.

125149550400 is a `hidden beast` number, since 1 + 2 + 5 + 149 + 5 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53322027 + ... + 53324373.

Almost surely, 2^125149550400 is an apocalyptic number.

125149550400 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 125149550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265822649456).

125149550400 is an abundant number, since it is smaller than the sum of its proper divisors (406495748512).

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

125149550400 is a wasteful number, since it uses less digits than its factorization.

125149550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 125149550400 in words is "one hundred twenty-five billion, one hundred forty-nine million, five hundred fifty thousand, four hundred".