147376138816 has 63 divisors (see below), whose sum is σ = 299097190857. Its totient is φ = 72049601280.

The previous prime is 147376138813. The next prime is 147376138823. The reversal of 147376138816 is 618831673741.

The square root of 147376138816 is 383896.

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

It can be written as a sum of positive squares in only one way, i.e., 85792753216 + 61583385600 = 292904^2 + 248160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147376138813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144344386 + ... + 144345406.

Almost surely, 2^147376138816 is an apocalyptic number.

147376138816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

147376138816 is the 383896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147376138816

147376138816 is an abundant number, since it is smaller than the sum of its proper divisors (151721052041).

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

147376138816 is an frugal number, since it uses more digits than its factorization.

147376138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 1070 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 55.

The spelling of 147376138816 in words is "one hundred forty-seven billion, three hundred seventy-six million, one hundred thirty-eight thousand, eight hundred sixteen".