54154800 has 270 divisors, whose sum is σ = 219327108. Its totient is φ = 12337920.

The previous prime is 54154787. The next prime is 54154801. The reversal of 54154800 is 845145.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54154801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176247 + ... + 176553.

Almost surely, 2^54154800 is an apocalyptic number.

54154800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54154800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109663554).

54154800 is an abundant number, since it is smaller than the sum of its proper divisors (165172308).

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

54154800 is a wasteful number, since it uses less digits than its factorization.

54154800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54154800 is about 7358.9944965328. The cubic root of 54154800 is about 378.3371477597.

Adding to 54154800 its reverse (845145), we get a palindrome (54999945).

The spelling of 54154800 in words is "fifty-four million, one hundred fifty-four thousand, eight hundred".