131078350944 has 288 divisors, whose sum is σ = 429788268000. Its totient is φ = 37614108672.

The previous prime is 131078350943. The next prime is 131078350957. The reversal of 131078350944 is 449053870131.

131078350944 is a `hidden beast` number, since 1 + 31 + 0 + 78 + 3 + 509 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×131078350944² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131078350944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131078350943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2673402 + ... + 2721990.

It is an arithmetic number, because the mean of its divisors is an integer number (1492320375).

Almost surely, 2^131078350944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131078350944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214894134000).

131078350944 is an abundant number, since it is smaller than the sum of its proper divisors (298709917056).

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

131078350944 is a wasteful number, since it uses less digits than its factorization.

131078350944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48670 (or 48659 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 131078350944 in words is "one hundred thirty-one billion, seventy-eight million, three hundred fifty thousand, nine hundred forty-four".