136881239040000 has 5880 divisors, whose sum is σ = 655172533078272. Its totient is φ = 27948810240000.

The previous prime is 136881239039989. The next prime is 136881239040043. The reversal of 136881239040000 is 40932188631.

136881239040000 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 8 + 1 + 239 + 0 + 400 + 0 + 0 = 666.

It is a super-2 number, since 2×136881239040000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 4415523839985 + ... + 4415523840015.

Almost surely, 2^{136881239040000} is an apocalyptic number.

136881239040000 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 136881239040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327586266539136).

136881239040000 is an abundant number, since it is smaller than the sum of its proper divisors (518291294038272).

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

136881239040000 is an frugal number, since it uses more digits than its factorization.

136881239040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 136881239040000 in words is "one hundred thirty-six trillion, eight hundred eighty-one billion, two hundred thirty-nine million, forty thousand".