16135472100 has 288 divisors, whose sum is σ = 53868552192. Its totient is φ = 3692160000.

The previous prime is 16135472083. The next prime is 16135472113. The reversal of 16135472100 is 127453161.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4192377 + ... + 4196223.

It is an arithmetic number, because the mean of its divisors is an integer number (187043584).

Almost surely, 2^16135472100 is an apocalyptic number.

16135472100 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 16135472100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26934276096).

16135472100 is an abundant number, since it is smaller than the sum of its proper divisors (37733080092).

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

16135472100 is a wasteful number, since it uses less digits than its factorization.

16135472100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 16135472100 in words is "sixteen billion, one hundred thirty-five million, four hundred seventy-two thousand, one hundred".