187749627134904 has 48 divisors (see below), whose sum is σ = 508495175950320. Its totient is φ = 62582396434560.

The previous prime is 187749627134899. The next prime is 187749627134917. The reversal of 187749627134904 is 409431726947781.

187749627134904 is a `hidden beast` number, since 1 + 8 + 7 + 7 + 4 + 9 + 6 + 271 + 349 + 0 + 4 = 666.

187749627134904 is digitally balanced in base 2 and base 4, because in such bases 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11333037 + ... + 22448540.

It is an arithmetic number, because the mean of its divisors is an integer number (10593649498965).

Almost surely, 2^{187749627134904} is an apocalyptic number.

It is an amenable number.

187749627134904 is an abundant number, since it is smaller than the sum of its proper divisors (320745548815416).

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

187749627134904 is a wasteful number, since it uses less digits than its factorization.

187749627134904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33858780 (or 33858773 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

Adding to 187749627134904 its sum of digits (72), we get a square (187749627134976 = 13702176²).

The spelling of 187749627134904 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 four".