190169975771136 has 1560 divisors, whose sum is σ = 628833383582976. Its totient is φ = 57192449310720.

The previous prime is 190169975771131. The next prime is 190169975771159. The reversal of 190169975771136 is 631177579961091.

190169975771136 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 6 + 9 + 9 + 7 + 577 + 11 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190169975771131) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 407216221975 + ... + 407216222441.

Almost surely, 2^{190169975771136} is an apocalyptic number.

190169975771136 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 190169975771136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314416691791488).

190169975771136 is an abundant number, since it is smaller than the sum of its proper divisors (438663407811840).

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

190169975771136 is a wasteful number, since it uses less digits than its factorization.

190169975771136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 135025380, while the sum is 72.

The spelling of 190169975771136 in words is "one hundred ninety trillion, one hundred sixty-nine billion, nine hundred seventy-five million, seven hundred seventy-one thousand, one hundred thirty-six".