153090000 has 400 divisors, whose sum is σ = 635296640. Its totient is φ = 34992000.

The previous prime is 153089983. The next prime is 153090029. The reversal of 153090000 is 90351.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 21869997 + ... + 21870003.

Almost surely, 2^153090000 is an apocalyptic number.

153090000 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 153090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317648320).

153090000 is an abundant number, since it is smaller than the sum of its proper divisors (482206640).

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

153090000 is an frugal number, since it uses more digits than its factorization.

153090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 153090000 is about 12372.9543763808. The cubic root of 153090000 is about 534.9529757487.

The spelling of 153090000 in words is "one hundred fifty-three million, ninety thousand".