136024098336 has 336 divisors, whose sum is σ = 478835570304. Its totient is φ = 37173261312.

The previous prime is 136024098307. The next prime is 136024098389. The reversal of 136024098336 is 633890420631.

136024098336 is a `hidden beast` number, since 1 + 3 + 602 + 4 + 0 + 9 + 8 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 136024098291 and 136024098300.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3737700 + ... + 3773916.

It is an arithmetic number, because the mean of its divisors is an integer number (1425105864).

Almost surely, 2^136024098336 is an apocalyptic number.

136024098336 is a gapful number since it is divisible by the number (16) 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 136024098336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239417785152).

136024098336 is an abundant number, since it is smaller than the sum of its proper divisors (342811471968).

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

136024098336 is an equidigital number, since it uses as much as digits as its factorization.

136024098336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36275 (or 36252 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 136024098336 in words is "one hundred thirty-six billion, twenty-four million, ninety-eight thousand, three hundred thirty-six".