187134820992 has 384 divisors, whose sum is σ = 651836989440. Its totient is φ = 52326632448.

The previous prime is 187134820991. The next prime is 187134820997. The reversal of 187134820992 is 299028431781.

187134820992 is a `hidden beast` number, since 1 + 8 + 7 + 1 + 348 + 209 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (187134820991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10224073 + ... + 10242359.

It is an arithmetic number, because the mean of its divisors is an integer number (1697492160).

Almost surely, 2^187134820992 is an apocalyptic number.

187134820992 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 187134820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325918494720).

187134820992 is an abundant number, since it is smaller than the sum of its proper divisors (464702168448).

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

187134820992 is an equidigital number, since it uses as much as digits as its factorization.

187134820992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18370 (or 18346 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 187134820992 in words is "one hundred eighty-seven billion, one hundred thirty-four million, eight hundred twenty thousand, nine hundred ninety-two".