1542885120 has 648 divisors, whose sum is σ = 6560307936. Its totient is φ = 327794688.

The previous prime is 1542885061. The next prime is 1542885137. The reversal of 1542885120 is 215882451.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29111014 + ... + 29111066.

It is an arithmetic number, because the mean of its divisors is an integer number (10123932).

Almost surely, 2^1542885120 is an apocalyptic number.

1542885120 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 1542885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280153968).

1542885120 is an abundant number, since it is smaller than the sum of its proper divisors (5017422816).

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

1542885120 is a wasteful number, since it uses less digits than its factorization.

1542885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1542885120 is about 39279.5763724610. The cubic root of 1542885120 is about 1155.5210557309.

The spelling of 1542885120 in words is "one billion, five hundred forty-two million, eight hundred eighty-five thousand, one hundred twenty".