131622400 has 240 divisors, whose sum is σ = 404911584. Its totient is φ = 41287680.

The previous prime is 131622397. The next prime is 131622401. The reversal of 131622400 is 4226131.

131622400 = 24³ + 25³ + ... + 151³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131622401) 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, 1164744 + ... + 1164856.

Almost surely, 2^131622400 is an apocalyptic number.

131622400 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 131622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202455792).

131622400 is an abundant number, since it is smaller than the sum of its proper divisors (273289184).

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

131622400 is a wasteful number, since it uses less digits than its factorization.

131622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 131622400 is about 11472.6805934795. The cubic root of 131622400 is about 508.6783670854.

Adding to 131622400 its reverse (4226131), we get a palindrome (135848531).

It can be divided in two parts, 1316 and 22400, that added together give a square (23716 = 154²).

The spelling of 131622400 in words is "one hundred thirty-one million, six hundred twenty-two thousand, four hundred".