125453152000 has 288 divisors, whose sum is σ = 348230098944. Its totient is φ = 44642816000.

The previous prime is 125453151977. The next prime is 125453152003. The reversal of 125453152000 is 251354521.

It is a super-3 number, since 3×125453152000³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125453152000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125453152003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16540209 + ... + 16547791.

It is an arithmetic number, because the mean of its divisors is an integer number (1209132288).

Almost surely, 2^125453152000 is an apocalyptic number.

125453152000 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 125453152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174115049472).

125453152000 is an abundant number, since it is smaller than the sum of its proper divisors (222776946944).

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

125453152000 is an equidigital number, since it uses as much as digits as its factorization.

125453152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7672 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

It can be divided in two parts, 125 and 453152000, that multiplied together give a square (56644000000 = 238000²).

The spelling of 125453152000 in words is "one hundred twenty-five billion, four hundred fifty-three million, one hundred fifty-two thousand".