126145232264400 has 240 divisors, whose sum is σ = 404402413541376. Its totient is φ = 33612335285760.

The previous prime is 126145232264341. The next prime is 126145232264407. The reversal of 126145232264400 is 4462232541621.

126145232264400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126145232264407) 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, 11219885179 + ... + 11219896421.

Almost surely, 2^{126145232264400} is an apocalyptic number.

126145232264400 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 126145232264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202201206770688).

126145232264400 is an abundant number, since it is smaller than the sum of its proper divisors (278257181276976).

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

126145232264400 is a wasteful number, since it uses less digits than its factorization.

126145232264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17770 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 126145232264400 in words is "one hundred twenty-six trillion, one hundred forty-five billion, two hundred thirty-two million, two hundred sixty-four thousand, four hundred".