136589376400 has 135 divisors (see below), whose sum is σ = 348915746739. Its totient is φ = 51374576640.

The previous prime is 136589376367. The next prime is 136589376401. The reversal of 136589376400 is 4673985631.

It is a happy number.

The square root of 136589376400 is 369580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3194962576 + 133394413824 = 56524^2 + 365232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136589376401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125656657 + ... + 125657743.

Almost surely, 2^136589376400 is an apocalyptic number.

136589376400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136589376400 is the 369580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136589376400

136589376400 is an abundant number, since it is smaller than the sum of its proper divisors (212326370339).

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

136589376400 is an equidigital number, since it uses as much as digits as its factorization.

136589376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 136589376400 in words is "one hundred thirty-six billion, five hundred eighty-nine million, three hundred seventy-six thousand, four hundred".