154839102016 has 63 divisors (see below), whose sum is σ = 310969669017. Its totient is φ = 76495622400.

The previous prime is 154839101993. The next prime is 154839102017. The reversal of 154839102016 is 610201938451.

The square root of 154839102016 is 393496.

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., 148767575616 + 6071526400 = 385704^2 + 77920^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 154839102016.

It is not an unprimeable number, because it can be changed into a prime (154839102017) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 317944525 + ... + 317945011.

Almost surely, 2^154839102016 is an apocalyptic number.

154839102016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

154839102016 is the 393496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154839102016

154839102016 is an abundant number, since it is smaller than the sum of its proper divisors (156130567001).

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

154839102016 is an frugal number, since it uses more digits than its factorization.

154839102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 154839102016 in words is "one hundred fifty-four billion, eight hundred thirty-nine million, one hundred two thousand, sixteen".