136857193200 has 720 divisors, whose sum is σ = 587083049280. Its totient is φ = 28749496320.

The previous prime is 136857193157. The next prime is 136857193259. The reversal of 136857193200 is 2391758631.

136857193200 is a `hidden beast` number, since 13 + 68 + 571 + 9 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×136857193200³ (a number of 34 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 88123624 + ... + 88125176.

It is an arithmetic number, because the mean of its divisors is an integer number (815393124).

Almost surely, 2^136857193200 is an apocalyptic number.

136857193200 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 136857193200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293541524640).

136857193200 is an abundant number, since it is smaller than the sum of its proper divisors (450225856080).

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

136857193200 is a wasteful number, since it uses less digits than its factorization.

136857193200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 136857193200 in words is "one hundred thirty-six billion, eight hundred fifty-seven million, one hundred ninety-three thousand, two hundred".