153164000 has 144 divisors (see below), whose sum is σ = 417611376. Its totient is φ = 54752000.

The previous prime is 153163991. The next prime is 153164009. The reversal of 153164000 is 461351.

It is an interprime number because it is at equal distance from previous prime (153163991) and next prime (153164009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153164009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2595971 + ... + 2596029.

It is an arithmetic number, because the mean of its divisors is an integer number (2900079).

Almost surely, 2^153164000 is an apocalyptic number.

153164000 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 153164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208805688).

153164000 is an abundant number, since it is smaller than the sum of its proper divisors (264447376).

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

153164000 is an equidigital number, since it uses as much as digits as its factorization.

153164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 153164000 is about 12375.9444084078. The cubic root of 153164000 is about 535.0391563038.

The spelling of 153164000 in words is "one hundred fifty-three million, one hundred sixty-four thousand".