54177145 has 24 divisors (see below), whose sum is σ = 72059400. Its totient is φ = 39072000.

The previous prime is 54177103. The next prime is 54177187.

54177145 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54177103) and next prime (54177187).

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 49716601 = 2112^2 + 7051^2 .

It is a de Polignac number, because none of the positive numbers 2^k-54177145 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54177145.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89845 + ... + 90445.

It is an arithmetic number, because the mean of its divisors is an integer number (3002475).

Almost surely, 2^54177145 is an apocalyptic number.

54177145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54177145 is the 6010-th pentagonal number.

It is an amenable number.

54177145 is a deficient number, since it is larger than the sum of its proper divisors (17882255).

54177145 is a wasteful number, since it uses less digits than its factorization.

54177145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its digits is 19600, while the sum is 34.

The square root of 54177145 is about 7360.5125500878. The cubic root of 54177145 is about 378.3891762723.

The spelling of 54177145 in words is "fifty-four million, one hundred seventy-seven thousand, one hundred forty-five".