126037155948000 has 576 divisors, whose sum is σ = 468486626549760. Its totient is φ = 29568823680000.

The previous prime is 126037155947987. The next prime is 126037155948013. The reversal of 126037155948000 is 849551730621.

It is an interprime number because it is at equal distance from previous prime (126037155947987) and next prime (126037155948013).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43611961 + ... + 46412039.

It is an arithmetic number, because the mean of its divisors is an integer number (813344837760).

It is a 2-persistent number, because it is pandigital, and so is 2⋅126037155948000 = 252074311896000, but 3⋅126037155948000 = 378111467844000 is not.

Almost surely, 2^{126037155948000} is an apocalyptic number.

126037155948000 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 126037155948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234243313274880).

126037155948000 is an abundant number, since it is smaller than the sum of its proper divisors (342449470601760).

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

126037155948000 is a wasteful number, since it uses less digits than its factorization.

126037155948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800160 (or 2800131 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 126037155948000 in words is "one hundred twenty-six trillion, thirty-seven billion, one hundred fifty-five million, nine hundred forty-eight thousand".