131351900256 has 144 divisors (see below), whose sum is σ = 395672331600. Its totient is φ = 41190948864.

The previous prime is 131351900249. The next prime is 131351900257. The reversal of 131351900256 is 652009153131.

It is a happy number.

131351900256 is a `hidden beast` number, since 1 + 313 + 5 + 1 + 90 + 0 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 131351900256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131351900257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16294755 + ... + 16302813.

It is an arithmetic number, because the mean of its divisors is an integer number (2747724525).

Almost surely, 2^131351900256 is an apocalyptic number.

131351900256 is a gapful number since it is divisible by the number (16) 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 131351900256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197836165800).

131351900256 is an abundant number, since it is smaller than the sum of its proper divisors (264320431344).

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

131351900256 is a wasteful number, since it uses less digits than its factorization.

131351900256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11421 (or 11410 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 131351900256 in words is "one hundred thirty-one billion, three hundred fifty-one million, nine hundred thousand, two hundred fifty-six".