153010400 has 72 divisors (see below), whose sum is σ = 375850944. Its totient is φ = 60825600.

The previous prime is 153010399. The next prime is 153010411. The reversal of 153010400 is 4010351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153905 + ... + 154895.

It is an arithmetic number, because the mean of its divisors is an integer number (5220152).

Almost surely, 2^153010400 is an apocalyptic number.

153010400 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 153010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187925472).

153010400 is an abundant number, since it is smaller than the sum of its proper divisors (222840544).

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

153010400 is a wasteful number, since it uses less digits than its factorization.

153010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 153010400 is about 12369.7372647927. The cubic root of 153010400 is about 534.8602424125.

Adding to 153010400 its reverse (4010351), we get a palindrome (157020751).

The spelling of 153010400 in words is "one hundred fifty-three million, ten thousand, four hundred".