54145264140 has 144 divisors (see below), whose sum is σ = 181330845696. Its totient is φ = 12967939200.

The previous prime is 54145264139. The next prime is 54145264177. The reversal of 54145264140 is 4146254145.

54145264140 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 5 + 2 + 641 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54145264095 and 54145264104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396 + ... + 329075.

It is an arithmetic number, because the mean of its divisors is an integer number (1259241984).

Almost surely, 2^54145264140 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 54145264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90665422848).

54145264140 is an abundant number, since it is smaller than the sum of its proper divisors (127185581556).

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

54145264140 is a wasteful number, since it uses less digits than its factorization.

54145264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329580 (or 329575 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 54145264140 in words is "fifty-four billion, one hundred forty-five million, two hundred sixty-four thousand, one hundred forty".