153200400 has 120 divisors (see below), whose sum is σ = 502333920. Its totient is φ = 39889920.

The previous prime is 153200389. The next prime is 153200407. The reversal of 153200400 is 4002351.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 153200400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153200407) 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, 50116 + ... + 53084.

It is an arithmetic number, because the mean of its divisors is an integer number (4186116).

Almost surely, 2^153200400 is an apocalyptic number.

153200400 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 153200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251166960).

153200400 is an abundant number, since it is smaller than the sum of its proper divisors (349133520).

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

153200400 is a wasteful number, since it uses less digits than its factorization.

153200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 153200400 is about 12377.4149158861. The cubic root of 153200400 is about 535.0815376351.

Adding to 153200400 its reverse (4002351), we get a palindrome (157202751).

The spelling of 153200400 in words is "one hundred fifty-three million, two hundred thousand, four hundred".