136801351680 has 384 divisors, whose sum is σ = 510427008000. Its totient is φ = 31266471936.

The previous prime is 136801351667. The next prime is 136801351693. The reversal of 136801351680 is 86153108631.

It is an interprime number because it is at equal distance from previous prime (136801351667) and next prime (136801351693).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10530469 + ... + 10543451.

It is an arithmetic number, because the mean of its divisors is an integer number (1329237000).

Almost surely, 2^136801351680 is an apocalyptic number.

136801351680 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 136801351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255213504000).

136801351680 is an abundant number, since it is smaller than the sum of its proper divisors (373625656320).

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

136801351680 is an equidigital number, since it uses as much as digits as its factorization.

136801351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13034 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 136801351680 in words is "one hundred thirty-six billion, eight hundred one million, three hundred fifty-one thousand, six hundred eighty".