54152000 has 112 divisors (see below), whose sum is σ = 153424128. Its totient is φ = 18547200.

The previous prime is 54151997. The next prime is 54152003. The reversal of 54152000 is 25145.

It is an interprime number because it is at equal distance from previous prime (54151997) and next prime (54152003).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 54152000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54152003) 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 15 ways as a sum of consecutive naturals, for example, 55517 + ... + 56483.

Almost surely, 2^54152000 is an apocalyptic number.

54152000 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 54152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76712064).

54152000 is an abundant number, since it is smaller than the sum of its proper divisors (99272128).

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

54152000 is an equidigital number, since it uses as much as digits as its factorization.

54152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 54152000 is about 7358.8042506918. The cubic root of 54152000 is about 378.3306271787.

Adding to 54152000 its reverse (25145), we get a palindrome (54177145).

The spelling of 54152000 in words is "fifty-four million, one hundred fifty-two thousand".