6135138900 has 108 divisors (see below), whose sum is σ = 20978490624. Its totient is φ = 1487304000.

The previous prime is 6135138881. The next prime is 6135138949. The reversal of 6135138900 is 98315316.

It is a happy number.

6135138900 is a `hidden beast` number, since 61 + 3 + 513 + 89 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 299956 + ... + 319755.

Almost surely, 2^6135138900 is an apocalyptic number.

6135138900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6135138900 is an abundant number, since it is smaller than the sum of its proper divisors (14843351724).

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

6135138900 is a wasteful number, since it uses less digits than its factorization.

6135138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619742 (or 619732 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 6135138900 is about 78327.1274846716. The cubic root of 6135138900 is about 1830.6618585982.

The spelling of 6135138900 in words is "six billion, one hundred thirty-five million, one hundred thirty-eight thousand, nine hundred".