187113164000 has 288 divisors, whose sum is σ = 539078851584. Its totient is φ = 63639475200.

The previous prime is 187113163967. The next prime is 187113164041. The reversal of 187113164000 is 461311781.

It is a super-2 number, since 2×187113164000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24888242 + ... + 24895758.

It is an arithmetic number, because the mean of its divisors is an integer number (1871801568).

Almost surely, 2^187113164000 is an apocalyptic number.

187113164000 is a gapful number since it is divisible by the number (10) 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 187113164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269539425792).

187113164000 is an abundant number, since it is smaller than the sum of its proper divisors (351965687584).

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

187113164000 is a wasteful number, since it uses less digits than its factorization.

187113164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

Adding to 187113164000 its reverse (461311781), we get a palindrome (187574475781).

The spelling of 187113164000 in words is "one hundred eighty-seven billion, one hundred thirteen million, one hundred sixty-four thousand".