136994445987840 has 3120 divisors, whose sum is σ = 607687419873600. Its totient is φ = 29352270495744.

The previous prime is 136994445987671. The next prime is 136994445987869. The reversal of 136994445987840 is 48789544499631.

136994445987840 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 9 + 4 + 4 + 459 + 87 + 84 + 0 = 666.

It is a super-2 number, since 2×136994445987840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 136994445987840.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 165252648546 + ... + 165252649374.

Almost surely, 2^{136994445987840} is an apocalyptic number.

136994445987840 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 136994445987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303843709936800).

136994445987840 is an abundant number, since it is smaller than the sum of its proper divisors (470692973885760).

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

136994445987840 is a wasteful number, since it uses less digits than its factorization.

136994445987840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 136994445987840 in words is "one hundred thirty-six trillion, nine hundred ninety-four billion, four hundred forty-five million, nine hundred eighty-seven thousand, eight hundred forty".