54151776 has 72 divisors (see below), whose sum is σ = 175999824. Its totient is φ = 15471360.

The previous prime is 54151739. The next prime is 54151777. The reversal of 54151776 is 67715145.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 54151776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54151777) 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 11 ways as a sum of consecutive naturals, for example, 11415 + ... + 15446.

It is an arithmetic number, because the mean of its divisors is an integer number (2444442).

Almost surely, 2^54151776 is an apocalyptic number.

54151776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54151776 is an abundant number, since it is smaller than the sum of its proper divisors (121848048).

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

54151776 is a wasteful number, since it uses less digits than its factorization.

54151776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26884 (or 26873 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 54151776 is about 7358.7890308121. The cubic root of 54151776 is about 378.3301055225.

The spelling of 54151776 in words is "fifty-four million, one hundred fifty-one thousand, seven hundred seventy-six".