125550146400 has 288 divisors, whose sum is σ = 479671799040. Its totient is φ = 27921438720.

The previous prime is 125550146353. The next prime is 125550146401. The reversal of 125550146400 is 4641055521.

It is a super-2 number, since 2×125550146400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125550146401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520611 + ... + 722589.

It is an arithmetic number, because the mean of its divisors is an integer number (1665527080).

Almost surely, 2^125550146400 is an apocalyptic number.

125550146400 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 125550146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239835899520).

125550146400 is an abundant number, since it is smaller than the sum of its proper divisors (354121652640).

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

125550146400 is a wasteful number, since it uses less digits than its factorization.

125550146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202046 (or 202033 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 125550146400 in words is "one hundred twenty-five billion, five hundred fifty million, one hundred forty-six thousand, four hundred".