136933539840 has 264 divisors, whose sum is σ = 475029980568. Its totient is φ = 36490444800.

The previous prime is 136933539773. The next prime is 136933539881. The reversal of 136933539840 is 48935339631.

136933539840 is a `hidden beast` number, since 1 + 3 + 69 + 3 + 3 + 539 + 8 + 40 = 666.

It is a super-2 number, since 2×136933539840² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94371115 + ... + 94372565.

It is an arithmetic number, because the mean of its divisors is an integer number (1799355987).

Almost surely, 2^136933539840 is an apocalyptic number.

136933539840 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 136933539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237514990284).

136933539840 is an abundant number, since it is smaller than the sum of its proper divisors (338096440728).

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

136933539840 is an frugal number, since it uses more digits than its factorization.

136933539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 136933539840 in words is "one hundred thirty-six billion, nine hundred thirty-three million, five hundred thirty-nine thousand, eight hundred forty".