532134900 has 576 divisors, whose sum is σ = 2099865600. Its totient is φ = 114048000.

The previous prime is 532134899. The next prime is 532134907. The reversal of 532134900 is 9431235.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532134907) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12978880 + ... + 12978920.

It is an arithmetic number, because the mean of its divisors is an integer number (3645600).

Almost surely, 2^532134900 is an apocalyptic number.

532134900 is a gapful number since it is divisible by the number (50) 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 532134900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049932800).

532134900 is an abundant number, since it is smaller than the sum of its proper divisors (1567730700).

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

532134900 is a wasteful number, since it uses less digits than its factorization.

532134900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 532134900 is about 23068.0493323558. The cubic root of 532134900 is about 810.3523843985.

The spelling of 532134900 in words is "five hundred thirty-two million, one hundred thirty-four thousand, nine hundred".