214138800 has 180 divisors, whose sum is σ = 787059000. Its totient is φ = 53729280.

The previous prime is 214138787. The next prime is 214138807. The reversal of 214138800 is 8831412.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (214138807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59451 + ... + 62949.

It is an arithmetic number, because the mean of its divisors is an integer number (4372550).

Almost surely, 2^214138800 is an apocalyptic number.

214138800 is a gapful number since it is divisible by the number (20) 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 214138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393529500).

214138800 is an abundant number, since it is smaller than the sum of its proper divisors (572920200).

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

214138800 is a wasteful number, since it uses less digits than its factorization.

214138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 214138800 is about 14633.4821556593. The cubic root of 214138800 is about 598.2716930385.

The spelling of 214138800 in words is "two hundred fourteen million, one hundred thirty-eight thousand, eight hundred".