838153000 has 32 divisors (see below), whose sum is σ = 1961280360. Its totient is φ = 335260800.

The previous prime is 838152967. The next prime is 838153003. The reversal of 838153000 is 351838.

838153000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 462336004 + 375816996 = 21502^2 + 19386^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 838153000.

It is not an unprimeable number, because it can be changed into a prime (838153003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418077 + ... + 420076.

Almost surely, 2^838153000 is an apocalyptic number.

It is an amenable number.

838153000 is an abundant number, since it is smaller than the sum of its proper divisors (1123127360).

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

838153000 is a wasteful number, since it uses less digits than its factorization.

838153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838174 (or 838160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 838153000 is about 28950.8721802988. The cubic root of 838153000 is about 942.8467345477.

The spelling of 838153000 in words is "eight hundred thirty-eight million, one hundred fifty-three thousand".