8740134144 has 288 divisors, whose sum is σ = 30561888000. Its totient is φ = 2410684416.

The previous prime is 8740134131. The next prime is 8740134149. The reversal of 8740134144 is 4414310478.

It is a happy number.

8740134144 is a `hidden beast` number, since 87 + 401 + 34 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8740134144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8740134099 and 8740134108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8740134149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400022 + ... + 1406250.

Almost surely, 2^8740134144 is an apocalyptic number.

8740134144 is a gapful number since it is divisible by the number (84) 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 8740134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15280944000).

8740134144 is an abundant number, since it is smaller than the sum of its proper divisors (21821753856).

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

8740134144 is a wasteful number, since it uses less digits than its factorization.

8740134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8740134144 is about 93488.6845773327. The cubic root of 8740134144 is about 2059.8678823114.

It can be divided in two parts, 8740 and 134144, that added together give a square (142884 = 378²).

The spelling of 8740134144 in words is "eight billion, seven hundred forty million, one hundred thirty-four thousand, one hundred forty-four".