187517007132 has 192 divisors, whose sum is σ = 552305295360. Its totient is φ = 48197124864.

The previous prime is 187517007121. The next prime is 187517007151. The reversal of 187517007132 is 231700715781.

187517007132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12258793 + ... + 12274079.

It is an arithmetic number, because the mean of its divisors is an integer number (2876590080).

Almost surely, 2^187517007132 is an apocalyptic number.

187517007132 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 187517007132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276152647680).

187517007132 is an abundant number, since it is smaller than the sum of its proper divisors (364788288228).

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

187517007132 is a wasteful number, since it uses less digits than its factorization.

187517007132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15600 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 42.

The spelling of 187517007132 in words is "one hundred eighty-seven billion, five hundred seventeen million, seven thousand, one hundred thirty-two".