125433301400 has 192 divisors, whose sum is σ = 332416224000. Its totient is φ = 43571264000.

The previous prime is 125433301379. The next prime is 125433301439. The reversal of 125433301400 is 4103334521.

It is a self number, because there is not a number n which added to its sum of digits gives 125433301400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59757551 + ... + 59759649.

It is an arithmetic number, because the mean of its divisors is an integer number (1731334500).

Almost surely, 2^125433301400 is an apocalyptic number.

125433301400 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 125433301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166208112000).

125433301400 is an abundant number, since it is smaller than the sum of its proper divisors (206982922600).

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

125433301400 is a wasteful number, since it uses less digits than its factorization.

125433301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 125433301400 its reverse (4103334521), we get a palindrome (129536635921).

The spelling of 125433301400 in words is "one hundred twenty-five billion, four hundred thirty-three million, three hundred one thousand, four hundred".