190960133952 has 224 divisors, whose sum is σ = 615066697728. Its totient is φ = 51042115584.

The previous prime is 190960133929. The next prime is 190960133957. The reversal of 190960133952 is 259331069091.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190960133957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3790593 + ... + 3840639.

It is an arithmetic number, because the mean of its divisors is an integer number (2745833472).

Almost surely, 2^190960133952 is an apocalyptic number.

190960133952 is a gapful number since it is divisible by the number (12) 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 190960133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307533348864).

190960133952 is an abundant number, since it is smaller than the sum of its proper divisors (424106563776).

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

190960133952 is a wasteful number, since it uses less digits than its factorization.

190960133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50253 (or 50243 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 48.

The spelling of 190960133952 in words is "one hundred ninety billion, nine hundred sixty million, one hundred thirty-three thousand, nine hundred fifty-two".