981142500 has 240 divisors, whose sum is σ = 3196226880. Its totient is φ = 232512000.

The previous prime is 981142457. The next prime is 981142507. The reversal of 981142500 is 5241189.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (981142507) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2827327 + ... + 2827673.

It is an arithmetic number, because the mean of its divisors is an integer number (13317612).

Almost surely, 2^981142500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598113440).

981142500 is an abundant number, since it is smaller than the sum of its proper divisors (2215084380).

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

981142500 is a wasteful number, since it uses less digits than its factorization.

981142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 981142500 is about 31323.1942815544. The cubic root of 981142500 is about 993.6742357491.

Adding to 981142500 its reverse (5241189), we get a palindrome (986383689).

The spelling of 981142500 in words is "nine hundred eighty-one million, one hundred forty-two thousand, five hundred".