188460138240 has 576 divisors, whose sum is σ = 736805422080. Its totient is φ = 45234339840.

The previous prime is 188460138203. The next prime is 188460138247. The reversal of 188460138240 is 42831064881.

188460138240 is a `hidden beast` number, since 1 + 8 + 8 + 4 + 601 + 38 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188460138247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39154074 + ... + 39158886.

It is an arithmetic number, because the mean of its divisors is an integer number (1279176080).

Almost surely, 2^188460138240 is an apocalyptic number.

188460138240 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 188460138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368402711040).

188460138240 is an abundant number, since it is smaller than the sum of its proper divisors (548345283840).

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

188460138240 is a wasteful number, since it uses less digits than its factorization.

188460138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 188460138240 in words is "one hundred eighty-eight billion, four hundred sixty million, one hundred thirty-eight thousand, two hundred forty".