54135124320 has 192 divisors, whose sum is σ = 176692803840. Its totient is φ = 13923207168.

The previous prime is 54135124291. The next prime is 54135124321. The reversal of 54135124320 is 2342153145.

It is a super-2 number, since 2×54135124320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54135124321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482927 + ... + 1518993.

It is an arithmetic number, because the mean of its divisors is an integer number (920275020).

Almost surely, 2^54135124320 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 54135124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88346401920).

54135124320 is an abundant number, since it is smaller than the sum of its proper divisors (122557679520).

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

54135124320 is a wasteful number, since it uses less digits than its factorization.

54135124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36197 (or 36189 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 54135124320 its reverse (2342153145), we get a palindrome (56477277465).

The spelling of 54135124320 in words is "fifty-four billion, one hundred thirty-five million, one hundred twenty-four thousand, three hundred twenty".