136783238400 has 324 divisors, whose sum is σ = 489833057532. Its totient is φ = 36415733760.

The previous prime is 136783238381. The next prime is 136783238441. The reversal of 136783238400 is 4832387631.

136783238400 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 8 + 3 + 238 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11365265664 + 125417972736 = 106608^2 + 354144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43601632 + ... + 43604768.

Almost surely, 2^136783238400 is an apocalyptic number.

136783238400 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 136783238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244916528766).

136783238400 is an abundant number, since it is smaller than the sum of its proper divisors (353049819132).

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

136783238400 is a wasteful number, since it uses less digits than its factorization.

136783238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 136783238400 in words is "one hundred thirty-six billion, seven hundred eighty-three million, two hundred thirty-eight thousand, four hundred".