1542730147200 has 960 divisors, whose sum is σ = 6244064640000. Its totient is φ = 371978956800.

The previous prime is 1542730147187. The next prime is 1542730147219. The reversal of 1542730147200 is 27410372451.

1542730147200 is a `hidden beast` number, since 1 + 542 + 7 + 30 + 14 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 567387441 + ... + 567390159.

It is an arithmetic number, because the mean of its divisors is an integer number (6504234000).

Almost surely, 2^{1542730147200} is an apocalyptic number.

1542730147200 is a gapful number since it is divisible by the number (10) 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 1542730147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122032320000).

1542730147200 is an abundant number, since it is smaller than the sum of its proper divisors (4701334492800).

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

1542730147200 is a wasteful number, since it uses less digits than its factorization.

1542730147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 1542730147200 in words is "one trillion, five hundred forty-two billion, seven hundred thirty million, one hundred forty-seven thousand, two hundred".