125152840800 has 1440 divisors, whose sum is σ = 524047708800. Its totient is φ = 28844605440.

The previous prime is 125152840789. The next prime is 125152840811. The reversal of 125152840800 is 8048251521.

125152840800 is a `hidden beast` number, since 1 + 2 + 51 + 528 + 4 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125152840789) and next prime (125152840811).

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1148191146 + ... + 1148191254.

It is an arithmetic number, because the mean of its divisors is an integer number (363922020).

Almost surely, 2^125152840800 is an apocalyptic number.

125152840800 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 125152840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262023854400).

125152840800 is an abundant number, since it is smaller than the sum of its proper divisors (398894868000).

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

125152840800 is a wasteful number, since it uses less digits than its factorization.

125152840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 125152840800 in words is "one hundred twenty-five billion, one hundred fifty-two million, eight hundred forty thousand, eight hundred".