126976542000 has 1280 divisors, whose sum is σ = 534822912000. Its totient is φ = 25683840000.

The previous prime is 126976541999. The next prime is 126976542013. The reversal of 126976542000 is 245679621.

It is a super-2 number, since 2×126976542000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1607297961 + ... + 1607298039.

It is an arithmetic number, because the mean of its divisors is an integer number (417830400).

Almost surely, 2^126976542000 is an apocalyptic number.

126976542000 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 126976542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267411456000).

126976542000 is an abundant number, since it is smaller than the sum of its proper divisors (407846370000).

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

126976542000 is a wasteful number, since it uses less digits than its factorization.

126976542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 126976542000 in words is "one hundred twenty-six billion, nine hundred seventy-six million, five hundred forty-two thousand".