1552132800 has 672 divisors, whose sum is σ = 6248806400. Its totient is φ = 373248000.

The previous prime is 1552132733. The next prime is 1552132801. The reversal of 1552132800 is 82312551.

It is a happy number.

1552132800 is a `hidden beast` number, since 1 + 552 + 1 + 32 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1552132801) 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 95 ways as a sum of consecutive naturals, for example, 25444770 + ... + 25444830.

Almost surely, 2^1552132800 is an apocalyptic number.

1552132800 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 1552132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124403200).

1552132800 is an abundant number, since it is smaller than the sum of its proper divisors (4696673600).

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

1552132800 is a wasteful number, since it uses less digits than its factorization.

1552132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1552132800 is about 39397.1166457648. The cubic root of 1552132800 is about 1157.8250964061.

The spelling of 1552132800 in words is "one billion, five hundred fifty-two million, one hundred thirty-two thousand, eight hundred".