153090400 has 72 divisors (see below), whose sum is σ = 385850304. Its totient is φ = 59251200.

The previous prime is 153090383. The next prime is 153090401. The reversal of 153090400 is 4090351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153090401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21714 + ... + 27886.

It is an arithmetic number, because the mean of its divisors is an integer number (5359032).

Almost surely, 2^153090400 is an apocalyptic number.

153090400 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 153090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192925152).

153090400 is an abundant number, since it is smaller than the sum of its proper divisors (232759904).

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

153090400 is a wasteful number, since it uses less digits than its factorization.

153090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 153090400 is about 12372.9705406584. The cubic root of 153090400 is about 534.9534416642.

The spelling of 153090400 in words is "one hundred fifty-three million, ninety thousand, four hundred".