136219209785250 has 256 divisors, whose sum is σ = 364658877573120. Its totient is φ = 33746463129600.

The previous prime is 136219209785237. The next prime is 136219209785257. The reversal of 136219209785250 is 52587902912631.

136219209785250 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136219209785250² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136219209785257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4207267062 + ... + 4207299438.

It is an arithmetic number, because the mean of its divisors is an integer number (1424448740520).

Almost surely, 2^{136219209785250} is an apocalyptic number.

136219209785250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136219209785250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182329438786560).

136219209785250 is an abundant number, since it is smaller than the sum of its proper divisors (228439667787870).

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

136219209785250 is a wasteful number, since it uses less digits than its factorization.

136219209785250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36670 (or 36660 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 136219209785250 in words is "one hundred thirty-six trillion, two hundred nineteen billion, two hundred nine million, seven hundred eighty-five thousand, two hundred fifty".