1890133849152 has 140 divisors (see below), whose sum is σ = 5607275509836. Its totient is φ = 629558092800.

The previous prime is 1890133849151. The next prime is 1890133849193. The reversal of 1890133849152 is 2519483310981.

It is a happy number.

1890133849152 is a `hidden beast` number, since 1 + 8 + 90 + 13 + 3 + 8 + 491 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 691319079936 + 1198814769216 = 831456^2 + 1094904^2 .

It is a super-2 number, since 2×1890133849152² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1890133849151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6604258 + ... + 6884510.

Almost surely, 2^{1890133849152} is an apocalyptic number.

1890133849152 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 1890133849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803637754918).

1890133849152 is an abundant number, since it is smaller than the sum of its proper divisors (3717141660684).

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

1890133849152 is a wasteful number, since it uses less digits than its factorization.

1890133849152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281578 (or 281559 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1890133849152 in words is "one trillion, eight hundred ninety billion, one hundred thirty-three million, eight hundred forty-nine thousand, one hundred fifty-two".