187749627134976 has 231 divisors, whose sum is σ = 562751923924911. Its totient is φ = 62579262818304.

The previous prime is 187749627134959. The next prime is 187749627134987. The reversal of 187749627134976 is 679431726947781.

The square root of 187749627134976 is 13702176.

It is a perfect power (a square), and thus also a powerful number.

187749627134976 is a `hidden beast` number, since 1 + 8 + 7 + 7 + 4 + 96 + 27 + 13 + 497 + 6 = 666.

It is a super-2 number, since 2×187749627134976² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 187749627134895 and 187749627134904.

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 20 ways as a sum of consecutive naturals, for example, 11838672135 + ... + 11838687993.

Almost surely, 2^{187749627134976} is an apocalyptic number.

187749627134976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

187749627134976 is the 13702176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187749627134976

187749627134976 is an abundant number, since it is smaller than the sum of its proper divisors (375002296789935).

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

187749627134976 is an frugal number, since it uses more digits than its factorization.

187749627134976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31756 (or 15864 counting only the distinct ones).

The product of its digits is 5377010688, while the sum is 81.

187749627134976 divided by its sum of digits (81) gives a square (2317896631296 = 1522464²).

The spelling of 187749627134976 in words is "one hundred eighty-seven trillion, seven hundred forty-nine billion, six hundred twenty-seven million, one hundred thirty-four thousand, nine hundred seventy-six".