1538070900 has 144 divisors (see below), whose sum is σ = 4718031360. Its totient is φ = 385776000.

The previous prime is 1538070899. The next prime is 1538070953. The reversal of 1538070900 is 90708351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859807 + ... + 861593.

Almost surely, 2^1538070900 is an apocalyptic number.

1538070900 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 1538070900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359015680).

1538070900 is an abundant number, since it is smaller than the sum of its proper divisors (3179960460).

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

1538070900 is a wasteful number, since it uses less digits than its factorization.

1538070900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 1538070900 is about 39218.2470286473. The cubic root of 1538070900 is about 1154.3179571748.

The spelling of 1538070900 in words is "one billion, five hundred thirty-eight million, seventy thousand, nine hundred".