1542900142080 has 1248 divisors, whose sum is σ = 6076134649728. Its totient is φ = 358848921600.

The previous prime is 1542900142067. The next prime is 1542900142081. The reversal of 1542900142080 is 802410092451.

1542900142080 is a `hidden beast` number, since 1 + 542 + 9 + 0 + 0 + 14 + 20 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542900142081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9827389362 + ... + 9827389518.

It is an arithmetic number, because the mean of its divisors is an integer number (4868697636).

Almost surely, 2^{1542900142080} is an apocalyptic number.

1542900142080 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 1542900142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038067324864).

1542900142080 is an abundant number, since it is smaller than the sum of its proper divisors (4533234507648).

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

1542900142080 is a wasteful number, since it uses less digits than its factorization.

1542900142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 346 counting only the distinct ones).

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

The spelling of 1542900142080 in words is "one trillion, five hundred forty-two billion, nine hundred million, one hundred forty-two thousand, eighty".