187396214687136 has 4320 divisors, whose sum is σ = 766310182944768. Its totient is φ = 43909327687680.

The previous prime is 187396214687111. The next prime is 187396214687141. The reversal of 187396214687136 is 631786412693781.

187396214687136 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 9 + 6 + 21 + 468 + 7 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (438939648) is a multiple of the sum of its prime factors (294).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1475560745505 + ... + 1475560745631.

Almost surely, 2^{187396214687136} is an apocalyptic number.

187396214687136 is a gapful number since it is divisible by the number (16) 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 187396214687136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383155091472384).

187396214687136 is an abundant number, since it is smaller than the sum of its proper divisors (578913968257632).

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

187396214687136 is a wasteful number, since it uses less digits than its factorization.

187396214687136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 245 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 187396214687136 in words is "one hundred eighty-seven trillion, three hundred ninety-six billion, two hundred fourteen million, six hundred eighty-seven thousand, one hundred thirty-six".