137055668977890 has 1536 divisors, whose sum is σ = 442051401646080. Its totient is φ = 30060498124800.

The previous prime is 137055668977853. The next prime is 137055668977897. The reversal of 137055668977890 is 98779866550731.

137055668977890 is a `hidden beast` number, since 1 + 370 + 5 + 5 + 6 + 6 + 8 + 97 + 78 + 90 = 666.

It is not an unprimeable number, because it can be changed into a prime (137055668977897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 414065465025 + ... + 414065465355.

It is an arithmetic number, because the mean of its divisors is an integer number (287793881280).

Almost surely, 2^{137055668977890} is an apocalyptic number.

137055668977890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137055668977890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221025700823040).

137055668977890 is an abundant number, since it is smaller than the sum of its proper divisors (304995732668190).

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

137055668977890 is a wasteful number, since it uses less digits than its factorization.

137055668977890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 4800902400, while the sum is 81.

The spelling of 137055668977890 in words is "one hundred thirty-seven trillion, fifty-five billion, six hundred sixty-eight million, nine hundred seventy-seven thousand, eight hundred ninety".