148206756400128 has 264 divisors, whose sum is σ = 428519657966400. Its totient is φ = 49335826907136.

The previous prime is 148206756400121. The next prime is 148206756400237. The reversal of 148206756400128 is 821004657602841.

148206756400128 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 0 + 67 + 56 + 400 + 128 = 666.

It is not an unprimeable number, because it can be changed into a prime (148206756400121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29983156825 + ... + 29983161767.

It is an arithmetic number, because the mean of its divisors is an integer number (1623180522600).

Almost surely, 2^{148206756400128} is an apocalyptic number.

148206756400128 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 148206756400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214259828983200).

148206756400128 is an abundant number, since it is smaller than the sum of its proper divisors (280312901566272).

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

148206756400128 is a wasteful number, since it uses less digits than its factorization.

148206756400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8687 (or 8666 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 148206756400128 in words is "one hundred forty-eight trillion, two hundred six billion, seven hundred fifty-six million, four hundred thousand, one hundred twenty-eight".