136933325280 has 480 divisors, whose sum is σ = 513729216000. Its totient is φ = 34251475968.

The previous prime is 136933325257. The next prime is 136933325281. The reversal of 136933325280 is 82523339631.

136933325280 is a `hidden beast` number, since 1 + 3 + 6 + 93 + 3 + 32 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136933325281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25360021 + ... + 25365419.

It is an arithmetic number, because the mean of its divisors is an integer number (1070269200).

Almost surely, 2^136933325280 is an apocalyptic number.

136933325280 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 136933325280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256864608000).

136933325280 is an abundant number, since it is smaller than the sum of its proper divisors (376795890720).

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

136933325280 is a wasteful number, since it uses less digits than its factorization.

136933325280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 136933325280 in words is "one hundred thirty-six billion, nine hundred thirty-three million, three hundred twenty-five thousand, two hundred eighty".