131648025600 has 2376 divisors, whose sum is σ = 635443168320. Its totient is φ = 26568622080.

The previous prime is 131648025563. The next prime is 131648025661. The reversal of 131648025600 is 6520846131.

It is a happy number.

131648025600 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 48 + 0 + 2 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5723827189 + ... + 5723827211.

Almost surely, 2^131648025600 is an apocalyptic number.

131648025600 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 131648025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317721584160).

131648025600 is an abundant number, since it is smaller than the sum of its proper divisors (503795142720).

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

131648025600 is a wasteful number, since it uses less digits than its factorization.

131648025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 131648025600 in words is "one hundred thirty-one billion, six hundred forty-eight million, twenty-five thousand, six hundred".