136838100 has 144 divisors (see below), whose sum is σ = 479219328. Its totient is φ = 29429760.

The previous prime is 136838081. The next prime is 136838101. The reversal of 136838100 is 1838631.

It is a super-2 number, since 2×136838100² = 37449331223220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136838101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33784 + ... + 37616.

It is an arithmetic number, because the mean of its divisors is an integer number (3327912).

Almost surely, 2^136838100 is an apocalyptic number.

136838100 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 136838100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239609664).

136838100 is an abundant number, since it is smaller than the sum of its proper divisors (342381228).

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

136838100 is a wasteful number, since it uses less digits than its factorization.

136838100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 136838100 is about 11697.7818410158. The cubic root of 136838100 is about 515.3105237609.

The spelling of 136838100 in words is "one hundred thirty-six million, eight hundred thirty-eight thousand, one hundred".