136683452294400 has 1728 divisors, whose sum is σ = 517437601873920. Its totient is φ = 31472824320000.

The previous prime is 136683452294393. The next prime is 136683452294437. The reversal of 136683452294400 is 4492254386631.

It is a super-2 number, since 2×136683452294400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131552889081 + ... + 131552890119.

It is an arithmetic number, because the mean of its divisors is an integer number (299443056640).

Almost surely, 2^{136683452294400} is an apocalyptic number.

136683452294400 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 136683452294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258718800936960).

136683452294400 is an abundant number, since it is smaller than the sum of its proper divisors (380754149579520).

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

136683452294400 is a wasteful number, since it uses less digits than its factorization.

136683452294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 136683452294400 in words is "one hundred thirty-six trillion, six hundred eighty-three billion, four hundred fifty-two million, two hundred ninety-four thousand, four hundred".