131434000 has 40 divisors (see below), whose sum is σ = 317812248. Its totient is φ = 52572800.

The previous prime is 131433997. The next prime is 131434019. The reversal of 131434000 is 434131.

It can be written as a sum of positive squares in 4 ways, for example, as 12362256 + 119071744 = 3516^2 + 10912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30859 + ... + 34858.

Almost surely, 2^131434000 is an apocalyptic number.

131434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131434000 is an abundant number, since it is smaller than the sum of its proper divisors (186378248).

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

131434000 is an equidigital number, since it uses as much as digits as its factorization.

131434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65740 (or 65724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 131434000 is about 11464.4668432509. The cubic root of 131434000 is about 508.4355493336.

Adding to 131434000 its reverse (434131), we get a palindrome (131868131).

The spelling of 131434000 in words is "one hundred thirty-one million, four hundred thirty-four thousand".