126978048 has 108 divisors (see below), whose sum is σ = 371207655. Its totient is φ = 41816064.

The previous prime is 126978041. The next prime is 126978073. The reversal of 126978048 is 840879621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 63489024 + 63489024 = 7968^2 + 7968^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7968.

It is a super-2 number, since 2×126978048² = 32246849347780608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126977994 and 126978012.

It is not an unprimeable number, because it can be changed into a prime (126978041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1529815 + ... + 1529897.

Almost surely, 2^126978048 is an apocalyptic number.

126978048 is a gapful number since it is divisible by the number (18) 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 126978048

126978048 is an abundant number, since it is smaller than the sum of its proper divisors (244229607).

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

126978048 is an frugal number, since it uses more digits than its factorization.

126978048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 126978048 is about 11268.4536649888. The cubic root of 126978048 is about 502.6236066310.

The spelling of 126978048 in words is "one hundred twenty-six million, nine hundred seventy-eight thousand, forty-eight".