1542597120 has 480 divisors, whose sum is σ = 5791129344. Its totient is φ = 378470400.

The previous prime is 1542597073. The next prime is 1542597127. The reversal of 1542597120 is 217952451.

1542597120 is a `hidden beast` number, since 1 + 5 + 42 + 597 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (1542597127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21726685 + ... + 21726755.

Almost surely, 2^1542597120 is an apocalyptic number.

1542597120 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 1542597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895564672).

1542597120 is an abundant number, since it is smaller than the sum of its proper divisors (4248532224).

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

1542597120 is a wasteful number, since it uses less digits than its factorization.

1542597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1542597120 is about 39275.9101740494. The cubic root of 1542597120 is about 1155.4491534727.

The spelling of 1542597120 in words is "one billion, five hundred forty-two million, five hundred ninety-seven thousand, one hundred twenty".