136811400 has 192 divisors, whose sum is σ = 487468800. Its totient is φ = 31392000.

The previous prime is 136811399. The next prime is 136811413. The reversal of 136811400 is 4118631.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 124855 + ... + 125945.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^136811400 is an apocalyptic number.

136811400 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 136811400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

136811400 is an abundant number, since it is smaller than the sum of its proper divisors (350657400).

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

136811400 is a wasteful number, since it uses less digits than its factorization.

136811400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 136811400 is about 11696.6405433355. The cubic root of 136811400 is about 515.2770055961.

The spelling of 136811400 in words is "one hundred thirty-six million, eight hundred eleven thousand, four hundred".