136784100 has 144 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 34974720.

The previous prime is 136784099. The next prime is 136784101. The reversal of 136784100 is 1487631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136784099) and next prime (136784101).

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

It is not an unprimeable number, because it can be changed into a prime (136784101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254846 + ... + 1254954.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2^136784100 is an apocalyptic number.

136784100 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 136784100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

136784100 is an abundant number, since it is smaller than the sum of its proper divisors (275689500).

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

136784100 is a wasteful number, since it uses less digits than its factorization.

136784100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 136784100 is about 11695.4734833610. The cubic root of 136784100 is about 515.2427297048.

The spelling of 136784100 in words is "one hundred thirty-six million, seven hundred eighty-four thousand, one hundred".