136839491188400 has 480 divisors, whose sum is σ = 464639852812800. Its totient is φ = 37298274508800.

The previous prime is 136839491188363. The next prime is 136839491188409. The reversal of 136839491188400 is 4881194938631.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (136839491188409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1386005 + ... + 16601204.

It is an arithmetic number, because the mean of its divisors is an integer number (967999693360).

Almost surely, 2^{136839491188400} is an apocalyptic number.

136839491188400 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 136839491188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232319926406400).

136839491188400 is an abundant number, since it is smaller than the sum of its proper divisors (327800361624400).

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

136839491188400 is a wasteful number, since it uses less digits than its factorization.

136839491188400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17987277 (or 17987266 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 65.

The spelling of 136839491188400 in words is "one hundred thirty-six trillion, eight hundred thirty-nine billion, four hundred ninety-one million, one hundred eighty-eight thousand, four hundred".