67256131140 has 192 divisors, whose sum is σ = 228426912000. Its totient is φ = 16292828160.

The previous prime is 67256131133. The next prime is 67256131181. The reversal of 67256131140 is 4113165276.

67256131140 is a `hidden beast` number, since 6 + 7 + 25 + 613 + 1 + 14 + 0 = 666.

67256131140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 67256131095 and 67256131104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10623496 + ... + 10629824.

It is an arithmetic number, because the mean of its divisors is an integer number (1189723500).

Almost surely, 2^67256131140 is an apocalyptic number.

67256131140 is a gapful number since it is divisible by the number (60) 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 67256131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114213456000).

67256131140 is an abundant number, since it is smaller than the sum of its proper divisors (161170780860).

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

67256131140 is a wasteful number, since it uses less digits than its factorization.

67256131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8147 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 67256131140 in words is "sixty-seven billion, two hundred fifty-six million, one hundred thirty-one thousand, one hundred forty".