6136260900 has 864 divisors, whose sum is σ = 24825077760. Its totient is φ = 1140480000.

The previous prime is 6136260883. The next prime is 6136260953. The reversal of 6136260900 is 90626316.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 149664880 + ... + 149664920.

Almost surely, 2^6136260900 is an apocalyptic number.

6136260900 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 6136260900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412538880).

6136260900 is an abundant number, since it is smaller than the sum of its proper divisors (18688816860).

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

6136260900 is a wasteful number, since it uses less digits than its factorization.

6136260900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 6136260900 is about 78334.2894267893. The cubic root of 6136260900 is about 1830.7734495194.

The spelling of 6136260900 in words is "six billion, one hundred thirty-six million, two hundred sixty thousand, nine hundred".