136720833935400 has 2304 divisors, whose sum is σ = 593614156262400. Its totient is φ = 28630609920000.

The previous prime is 136720833935359. The next prime is 136720833935431. The reversal of 136720833935400 is 4539338027631.

136720833935400 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 2 + 0 + 8 + 3 + 3 + 93 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 26136650785 + ... + 26136656015.

It is an arithmetic number, because the mean of its divisors is an integer number (257645033100).

It is a 1-persistent number, because it is pandigital, but 2⋅136720833935400 = 273441667870800 is not.

Almost surely, 2^{136720833935400} is an apocalyptic number.

136720833935400 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 136720833935400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296807078131200).

136720833935400 is an abundant number, since it is smaller than the sum of its proper divisors (456893322327000).

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

136720833935400 is a wasteful number, since it uses less digits than its factorization.

136720833935400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5489 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 136720833935400 in words is "one hundred thirty-six trillion, seven hundred twenty billion, eight hundred thirty-three million, nine hundred thirty-five thousand, four hundred".