136428600 has 192 divisors, whose sum is σ = 527466240. Its totient is φ = 28339200.

The previous prime is 136428599. The next prime is 136428641. The reversal of 136428600 is 6824631.

It is a super-2 number, since 2×136428600² = 37225525795920000, 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 an unprimeable number.

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, 44724 + ... + 47676.

It is an arithmetic number, because the mean of its divisors is an integer number (2747220).

Almost surely, 2^136428600 is an apocalyptic number.

136428600 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 136428600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263733120).

136428600 is an abundant number, since it is smaller than the sum of its proper divisors (391037640).

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

136428600 is a wasteful number, since it uses less digits than its factorization.

136428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 136428600 is about 11680.2654079434. The cubic root of 136428600 is about 514.7959728465.

The spelling of 136428600 in words is "one hundred thirty-six million, four hundred twenty-eight thousand, six hundred".