214537140 has 192 divisors, whose sum is σ = 696729600. Its totient is φ = 54767232.

The previous prime is 214537117. The next prime is 214537153. The reversal of 214537140 is 41735412.

214537140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2004967 + ... + 2005073.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^214537140 is an apocalyptic number.

214537140 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 214537140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

214537140 is an abundant number, since it is smaller than the sum of its proper divisors (482192460).

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

214537140 is a wasteful number, since it uses less digits than its factorization.

214537140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 214537140 is about 14647.0863996906. The cubic root of 214537140 is about 598.6424306591.

The spelling of 214537140 in words is "two hundred fourteen million, five hundred thirty-seven thousand, one hundred forty".