214053140 has 144 divisors (see below), whose sum is σ = 557859456. Its totient is φ = 67495680.

The previous prime is 214053131. The next prime is 214053149. The reversal of 214053140 is 41350412.

It is an interprime number because it is at equal distance from previous prime (214053131) and next prime (214053149).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214053149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4977959 + ... + 4978001.

It is an arithmetic number, because the mean of its divisors is an integer number (3874024).

Almost surely, 2^214053140 is an apocalyptic number.

214053140 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 214053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278929728).

214053140 is an abundant number, since it is smaller than the sum of its proper divisors (343806316).

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

214053140 is a wasteful number, since it uses less digits than its factorization.

214053140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 214053140 is about 14630.5550133958. Note that the first 3 decimals coincide. The cubic root of 214053140 is about 598.1919086679.

The spelling of 214053140 in words is "two hundred fourteen million, fifty-three thousand, one hundred forty".