147536064 has 336 divisors, whose sum is σ = 515904480. Its totient is φ = 39813120.

The previous prime is 147536033. The next prime is 147536071. The reversal of 147536064 is 460635741.

It is a happy number.

147536064 is a `hidden beast` number, since 1 + 47 + 5 + 3 + 606 + 4 = 666.

It is a super-2 number, since 2×147536064² = 43533780361224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418594 + ... + 2418654.

It is an arithmetic number, because the mean of its divisors is an integer number (1535430).

Almost surely, 2^147536064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257952240).

147536064 is an abundant number, since it is smaller than the sum of its proper divisors (368368416).

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

147536064 is a wasteful number, since it uses less digits than its factorization.

147536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 147536064 is about 12146.4424421309. The cubic root of 147536064 is about 528.4039608324.

The spelling of 147536064 in words is "one hundred forty-seven million, five hundred thirty-six thousand, sixty-four".