191960131499136 has 2560 divisors, whose sum is σ = 823908476160000. Its totient is φ = 43599875235840.

The previous prime is 191960131499131. The next prime is 191960131499153. The reversal of 191960131499136 is 631994131069191.

191960131499136 is a `hidden beast` number, since 1 + 9 + 1 + 9 + 6 + 0 + 1 + 3 + 1 + 499 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (191960131499131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9662250675 + ... + 9662270541.

It is an arithmetic number, because the mean of its divisors is an integer number (321839248500).

Almost surely, 2^{191960131499136} is an apocalyptic number.

191960131499136 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 191960131499136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411954238080000).

191960131499136 is an abundant number, since it is smaller than the sum of its proper divisors (631948344660864).

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

191960131499136 is a wasteful number, since it uses less digits than its factorization.

191960131499136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19957 (or 19922 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 63.

The spelling of 191960131499136 in words is "one hundred ninety-one trillion, nine hundred sixty billion, one hundred thirty-one million, four hundred ninety-nine thousand, one hundred thirty-six".