54315150154000 has 80 divisors (see below), whose sum is σ = 132809696800560. Its totient is φ = 21481946956800.

The previous prime is 54315150153941. The next prime is 54315150154007. The reversal of 54315150154000 is 45105151345.

It can be written as a sum of positive squares in 8 ways, for example, as 37272685578496 + 17042464575504 = 6105136^2 + 4128252^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (54315150154007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152392647 + ... + 152748646.

It is an arithmetic number, because the mean of its divisors is an integer number (1660121210007).

Almost surely, 2^{54315150154000} is an apocalyptic number.

54315150154000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54315150154000 is an abundant number, since it is smaller than the sum of its proper divisors (78494546646560).

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

54315150154000 is a wasteful number, since it uses less digits than its factorization.

54315150154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305141405 (or 305141389 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The spelling of 54315150154000 in words is "fifty-four trillion, three hundred fifteen billion, one hundred fifty million, one hundred fifty-four thousand".