1542132900 has 729 divisors, whose sum is σ = 6565502307. Its totient is φ = 301593600.

The previous prime is 1542132881. The next prime is 1542132901. The reversal of 1542132900 is 92312451.

The square root of 1542132900 is 39270.

It is a perfect power (a square), and thus also a powerful number.

1542132900 is a `hidden beast` number, since 1 + 542 + 1 + 32 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36072036 + 1506060864 = 6006^2 + 38808^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1542132901) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 90713692 + ... + 90713708.

Almost surely, 2^1542132900 is an apocalyptic number.

1542132900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1542132900 is the 39270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542132900

1542132900 is an abundant number, since it is smaller than the sum of its proper divisors (5023369407).

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

1542132900 is a wasteful number, since it uses less digits than its factorization.

1542132900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 1542132900 is about 1155.3332371795. Note that the first 3 decimals are identical.

The spelling of 1542132900 in words is "one billion, five hundred forty-two million, one hundred thirty-two thousand, nine hundred".