136016011640520 has 256 divisors, whose sum is σ = 494716355308800. Its totient is φ = 32966066810880.

The previous prime is 136016011640461. The next prime is 136016011640533. The reversal of 136016011640520 is 25046110610631.

136016011640520 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 1 + 6 + 0 + 1 + 1 + 640 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50934432 + ... + 53538288.

It is an arithmetic number, because the mean of its divisors is an integer number (1932485762925).

Almost surely, 2^{136016011640520} is an apocalyptic number.

136016011640520 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 136016011640520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247358177654400).

136016011640520 is an abundant number, since it is smaller than the sum of its proper divisors (358700343668280).

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

136016011640520 is a wasteful number, since it uses less digits than its factorization.

136016011640520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608285 (or 2608275 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 136016011640520 in words is "one hundred thirty-six trillion, sixteen billion, eleven million, six hundred forty thousand, five hundred twenty".