153838000 has 40 divisors (see below), whose sum is σ = 371985120. Its totient is φ = 61534400.

The previous prime is 153837991. The next prime is 153838033. The reversal of 153838000 is 838351.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×153838000² = 47332260488000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153838000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36460 + ... + 40459.

It is an arithmetic number, because the mean of its divisors is an integer number (9299628).

Almost surely, 2^153838000 is an apocalyptic number.

153838000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153838000 is an abundant number, since it is smaller than the sum of its proper divisors (218147120).

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

153838000 is an equidigital number, since it uses as much as digits as its factorization.

153838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76942 (or 76926 counting only the distinct ones).

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

The square root of 153838000 is about 12403.1447625189. The cubic root of 153838000 is about 535.8228232994.

The spelling of 153838000 in words is "one hundred fifty-three million, eight hundred thirty-eight thousand".