153076400 has 60 divisors (see below), whose sum is σ = 377742192. Its totient is φ = 59569920.

The previous prime is 153076387. The next prime is 153076403. The reversal of 153076400 is 4670351.

It is a self number, because there is not a number n which added to its sum of digits gives 153076400.

It is not an unprimeable number, because it can be changed into a prime (153076403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9629 + ... + 19971.

Almost surely, 2^153076400 is an apocalyptic number.

153076400 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 153076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188871096).

153076400 is an abundant number, since it is smaller than the sum of its proper divisors (224665792).

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

153076400 is a wasteful number, since it uses less digits than its factorization.

153076400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 153076400 is about 12372.4047783768. The cubic root of 153076400 is about 534.9371341393.

The spelling of 153076400 in words is "one hundred fifty-three million, seventy-six thousand, four hundred".