126498239813400 has 768 divisors, whose sum is σ = 512055976320000. Its totient is φ = 25069321912320.

The previous prime is 126498239813369. The next prime is 126498239813431. The reversal of 126498239813400 is 4318932894621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126498239813369) and next prime (126498239813431).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 463035244 + ... + 463308356.

It is an arithmetic number, because the mean of its divisors is an integer number (666739552500).

Almost surely, 2^{126498239813400} is an apocalyptic number.

126498239813400 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 126498239813400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256027988160000).

126498239813400 is an abundant number, since it is smaller than the sum of its proper divisors (385557736506600).

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

126498239813400 is a wasteful number, since it uses less digits than its factorization.

126498239813400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273668 (or 273659 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 126498239813400 in words is "one hundred twenty-six trillion, four hundred ninety-eight billion, two hundred thirty-nine million, eight hundred thirteen thousand, four hundred".