420114132 has 72 divisors (see below), whose sum is σ = 1154875176. Its totient is φ = 128231424.

The previous prime is 420114131. The next prime is 420114133. The reversal of 420114132 is 231411024.

420114132 is a `hidden beast` number, since 420 + 114 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (420114131) and next prime (420114133).

It can be written as a sum of positive squares in 4 ways, for example, as 98485776 + 321628356 = 9924^2 + 17934^2 .

It is a super-2 number, since 2×420114132² = 352991767812226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420114131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13368 + ... + 31920.

It is an arithmetic number, because the mean of its divisors is an integer number (16039933).

Almost surely, 2^420114132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420114132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577437588).

420114132 is an abundant number, since it is smaller than the sum of its proper divisors (734761044).

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

420114132 is a wasteful number, since it uses less digits than its factorization.

420114132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18617 (or 18612 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 420114132 is about 20496.6858784536. The cubic root of 420114132 is about 748.9550674975.

Adding to 420114132 its reverse (231411024), we get a palindrome (651525156).

The spelling of 420114132 in words is "four hundred twenty million, one hundred fourteen thousand, one hundred thirty-two".