738141000 has 128 divisors (see below), whose sum is σ = 2377589760. Its totient is φ = 190464000.

The previous prime is 738140993. The next prime is 738141011. The reversal of 738141000 is 141837.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 89032 + ... + 96968.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2^738141000 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 738141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188794880).

738141000 is an abundant number, since it is smaller than the sum of its proper divisors (1639448760).

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

738141000 is a wasteful number, since it uses less digits than its factorization.

738141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 738141000 is about 27168.7504313319. The cubic root of 738141000 is about 903.7461141266.

Adding to 738141000 its reverse (141837), we get a palindrome (738282837).

The spelling of 738141000 in words is "seven hundred thirty-eight million, one hundred forty-one thousand".