181413700 has 72 divisors (see below), whose sum is σ = 432112968. Its totient is φ = 65694720.

The previous prime is 181413697. The next prime is 181413707. The reversal of 181413700 is 7314181.

It can be written as a sum of positive squares in 12 ways, for example, as 93354244 + 88059456 = 9662^2 + 9384^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (181413707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67584 + ... + 70216.

It is an arithmetic number, because the mean of its divisors is an integer number (6001569).

Almost surely, 2^181413700 is an apocalyptic number.

181413700 is a gapful number since it is divisible by the number (10) 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 181413700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216056484).

181413700 is an abundant number, since it is smaller than the sum of its proper divisors (250699268).

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

181413700 is a wasteful number, since it uses less digits than its factorization.

181413700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 181413700 is about 13468.9903110812. The cubic root of 181413700 is about 566.0959228436.

Adding to 181413700 its reverse (7314181), we get a palindrome (188727881).

The spelling of 181413700 in words is "one hundred eighty-one million, four hundred thirteen thousand, seven hundred".