149652148801 has 9 divisors (see below), whose sum is σ = 154647755553. Its totient is φ = 144813054660.

The previous prime is 149652148781. The next prime is 149652148819. The reversal of 149652148801 is 108841256941.

The square root of 149652148801 is 386849.

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

149652148801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 149652148801 - 2³⁷ = 12213195329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149652148871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11986080 + ... + 11998558.

Almost surely, 2^149652148801 is an apocalyptic number.

149652148801 is the 386849-th square number.

149652148801 is the 193425-th centered octagonal number.

It is an amenable number.

149652148801 is a deficient number, since it is larger than the sum of its proper divisors (4995606752).

149652148801 is an frugal number, since it uses more digits than its factorization.

149652148801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25020 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

Multiplying 149652148801 by its sum of digits (49), we get a square (7332955291249 = 2707943²).

The spelling of 149652148801 in words is "one hundred forty-nine billion, six hundred fifty-two million, one hundred forty-eight thousand, eight hundred one".