136966540032 has 576 divisors, whose sum is σ = 495897292800. Its totient is φ = 36398039040.

The previous prime is 136966540003. The next prime is 136966540043. The reversal of 136966540032 is 230045669631.

136966540032 is a `hidden beast` number, since 13 + 6 + 9 + 66 + 540 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×136966540032² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136966540032.

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, 73204057 + ... + 73205927.

It is an arithmetic number, because the mean of its divisors is an integer number (860932800).

Almost surely, 2^136966540032 is an apocalyptic number.

136966540032 is a gapful number since it is divisible by the number (12) 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 136966540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247948646400).

136966540032 is an abundant number, since it is smaller than the sum of its proper divisors (358930752768).

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

136966540032 is a wasteful number, since it uses less digits than its factorization.

136966540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1989 counting only the distinct ones).

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

The spelling of 136966540032 in words is "one hundred thirty-six billion, nine hundred sixty-six million, five hundred forty thousand, thirty-two".