6102138240 has 896 divisors, whose sum is σ = 25285024800. Its totient is φ = 1393459200.

The previous prime is 6102138227. The next prime is 6102138271. The reversal of 6102138240 is 428312016.

6102138240 is a `hidden beast` number, since 610 + 2 + 1 + 3 + 8 + 2 + 40 = 666.

It is a super-2 number, since 2×6102138240² = 74472182200140595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 148832620 + ... + 148832660.

Almost surely, 2^6102138240 is an apocalyptic number.

6102138240 is a gapful number since it is divisible by the number (60) 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 6102138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642512400).

6102138240 is an abundant number, since it is smaller than the sum of its proper divisors (19182886560).

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

6102138240 is a wasteful number, since it uses less digits than its factorization.

6102138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6102138240 is about 78116.1842386070. The cubic root of 6102138240 is about 1827.3736041030.

The spelling of 6102138240 in words is "six billion, one hundred two million, one hundred thirty-eight thousand, two hundred forty".