131034400 has 72 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 44924160.

The previous prime is 131034389. The next prime is 131034451. The reversal of 131034400 is 4430131.

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 11 ways as a sum of consecutive naturals, for example, 6100 + ... + 17299.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^131034400 is an apocalyptic number.

131034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131034400 is an abundant number, since it is smaller than the sum of its proper divisors (234567200).

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

131034400 is a wasteful number, since it uses less digits than its factorization.

131034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23426 (or 23413 counting only the distinct ones).

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

The square root of 131034400 is about 11447.0258145948. The cubic root of 131034400 is about 507.9197591658.

Adding to 131034400 its reverse (4430131), we get a palindrome (135464531).

The spelling of 131034400 in words is "one hundred thirty-one million, thirty-four thousand, four hundred".