136007100 has 216 divisors, whose sum is σ = 459710160. Its totient is φ = 34836480.

The previous prime is 136007093. The next prime is 136007101. The reversal of 136007100 is 1700631.

136007100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136007101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 704604 + ... + 704796.

Almost surely, 2^136007100 is an apocalyptic number.

136007100 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 136007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229855080).

136007100 is an abundant number, since it is smaller than the sum of its proper divisors (323703060).

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

136007100 is a wasteful number, since it uses less digits than its factorization.

136007100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 136007100 is about 11662.2081957063. The cubic root of 136007100 is about 514.2652670442.

Adding to 136007100 its reverse (1700631), we get a palindrome (137707731).

The spelling of 136007100 in words is "one hundred thirty-six million, seven thousand, one hundred".