14529900 has 288 divisors, whose sum is σ = 56996352. Its totient is φ = 2764800.

The previous prime is 14529887. The next prime is 14529913. The reversal of 14529900 is 992541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14529887) and next prime (14529913).

It is a super-2 number, since 2×14529900² = 422235988020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392682 + ... + 392718.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 2^14529900 is an apocalyptic number.

14529900 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 14529900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

14529900 is an abundant number, since it is smaller than the sum of its proper divisors (42466452).

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

14529900 is a wasteful number, since it uses less digits than its factorization.

14529900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 14529900 is about 3811.8105934057. The cubic root of 14529900 is about 244.0174447798.

The spelling of 14529900 in words is "fourteen million, five hundred twenty-nine thousand, nine hundred".