155552148801 has 45 divisors (see below), whose sum is σ = 262216312449. Its totient is φ = 88853812488.

The previous prime is 155552148779. The next prime is 155552148823. The reversal of 155552148801 is 108841255551.

The square root of 155552148801 is 394401.

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

155552148801 is a `hidden beast` number, since 1 + 5 + 5 + 5 + 521 + 48 + 80 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (155552148779) and next prime (155552148823).

It is not a de Polignac number, because 155552148801 - 2¹⁹ = 155551624513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (155552148881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57975606 + ... + 57978288.

Almost surely, 2^155552148801 is an apocalyptic number.

155552148801 is the 394401-st square number.

155552148801 is the 197201-st centered octagonal number.

It is an amenable number.

155552148801 is a deficient number, since it is larger than the sum of its proper divisors (106664163648).

155552148801 is an frugal number, since it uses more digits than its factorization.

155552148801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 45.

The spelling of 155552148801 in words is "one hundred fifty-five billion, five hundred fifty-two million, one hundred forty-eight thousand, eight hundred one".