60135148800 has 324 divisors, whose sum is σ = 215830139980. Its totient is φ = 15973908480.

The previous prime is 60135148769. The next prime is 60135148901. The reversal of 60135148800 is 884153106.

60135148800 is a `hidden beast` number, since 60 + 1 + 3 + 514 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1191078144 + 58944070656 = 34512^2 + 242784^2 .

It is a super-3 number, since 3×60135148800³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15953316 + ... + 15957084.

Almost surely, 2^60135148800 is an apocalyptic number.

60135148800 is a gapful number since it is divisible by the number (60) 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 60135148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107915069990).

60135148800 is an abundant number, since it is smaller than the sum of its proper divisors (155694991180).

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

60135148800 is a wasteful number, since it uses less digits than its factorization.

60135148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 60135148800 in words is "sixty billion, one hundred thirty-five million, one hundred forty-eight thousand, eight hundred".