148800133069956 has 45 divisors (see below), whose sum is σ = 388993514465479. Its totient is φ = 49599971166456.

The previous prime is 148800133069937. The next prime is 148800133069961. The reversal of 148800133069956 is 659960331008841.

The square root of 148800133069956 is 12198366.

It is a perfect power (a square), and thus also a powerful number.

148800133069956 is a `hidden beast` number, since 1 + 488 + 0 + 0 + 1 + 3 + 3 + 0 + 69 + 95 + 6 = 666.

It is a super-3 number, since 3×148800133069956³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 148800133069893 and 148800133069902.

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 14 ways as a sum of consecutive naturals, for example, 219231745 + ... + 219909431.

Almost surely, 2^{148800133069956} is an apocalyptic number.

148800133069956 is the 12198366-th square number.

It is an amenable number.

148800133069956 is an abundant number, since it is smaller than the sum of its proper divisors (240193381395523).

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

148800133069956 is an frugal number, since it uses more digits than its factorization.

148800133069956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355390 (or 677692 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 148800133069956 in words is "one hundred forty-eight trillion, eight hundred billion, one hundred thirty-three million, sixty-nine thousand, nine hundred fifty-six".