54415152 has 150 divisors (see below), whose sum is σ = 173611284. Its totient is φ = 16441920.

The previous prime is 54415133. The next prime is 54415187. The reversal of 54415152 is 25151445.

54415152 = 23³ + 24³ + ... + 121³.

It is a super-2 number, since 2×54415152² = 5922017534366208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156643 + ... + 156989.

Almost surely, 2^54415152 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 54415152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86805642).

54415152 is an abundant number, since it is smaller than the sum of its proper divisors (119196132).

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

54415152 is a wasteful number, since it uses less digits than its factorization.

54415152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 363 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 54415152 is about 7376.6626600381. The cubic root of 54415152 is about 378.9424705507.

Adding to 54415152 its reverse (25151445), we get a palindrome (79566597).

The spelling of 54415152 in words is "fifty-four million, four hundred fifteen thousand, one hundred fifty-two".