400134132 has 72 divisors (see below), whose sum is σ = 1053666432. Its totient is φ = 127915200.

The previous prime is 400134079. The next prime is 400134149. The reversal of 400134132 is 231431004.

400134132 is a `hidden beast` number, since 400 + 134 + 132 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92457 + ... + 96687.

It is an arithmetic number, because the mean of its divisors is an integer number (14634256).

Almost surely, 2^400134132 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 400134132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526833216).

400134132 is an abundant number, since it is smaller than the sum of its proper divisors (653532300).

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

400134132 is a wasteful number, since it uses less digits than its factorization.

400134132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400134132 is about 20003.3530189316. The cubic root of 400134132 is about 736.8886482763. Note that the first 3 decimals are identical.

Adding to 400134132 its reverse (231431004), we get a palindrome (631565136).

The spelling of 400134132 in words is "four hundred million, one hundred thirty-four thousand, one hundred thirty-two".