188013540 has 192 divisors, whose sum is σ = 655361280. Its totient is φ = 39567360.

The previous prime is 188013517. The next prime is 188013541. The reversal of 188013540 is 45310881.

It is a super-3 number, since 3×188013540³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 188013498 and 188013507.

It is not an unprimeable number, because it can be changed into a prime (188013541) 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, 145216 + ... + 146504.

It is an arithmetic number, because the mean of its divisors is an integer number (3413340).

Almost surely, 2^188013540 is an apocalyptic number.

188013540 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 188013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327680640).

188013540 is an abundant number, since it is smaller than the sum of its proper divisors (467347740).

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

188013540 is a wasteful number, since it uses less digits than its factorization.

188013540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 188013540 is about 13711.8029449084. The cubic root of 188013540 is about 572.8791841013.

The spelling of 188013540 in words is "one hundred eighty-eight million, thirteen thousand, five hundred forty".