147601952064 has 126 divisors (see below), whose sum is σ = 492147801834. Its totient is φ = 42171978240.

The previous prime is 147601951967. The next prime is 147601952093. The reversal of 147601952064 is 460259106741.

147601952064 is a `hidden beast` number, since 1 + 4 + 7 + 60 + 1 + 9 + 520 + 64 = 666.

147601952064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 135860062464 + 11741889600 = 368592^2 + 108360^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2586607 + ... + 2643054.

Almost surely, 2^147601952064 is an apocalyptic number.

147601952064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

147601952064 is an abundant number, since it is smaller than the sum of its proper divisors (344545849770).

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

147601952064 is a wasteful number, since it uses less digits than its factorization.

147601952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229693 (or 5229673 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 147601952064 in words is "one hundred forty-seven billion, six hundred one million, nine hundred fifty-two thousand, sixty-four".