137621033984 has 88 divisors (see below), whose sum is σ = 325250941440. Its totient is φ = 56946548736.

The previous prime is 137621033971. The next prime is 137621033987. The reversal of 137621033984 is 489330126731.

137621033984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137621033987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123152 + ... + 538895.

Almost surely, 2^137621033984 is an apocalyptic number.

137621033984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137621033984 is an abundant number, since it is smaller than the sum of its proper divisors (187629907456).

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

137621033984 is an equidigital number, since it uses as much as digits as its factorization.

137621033984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662103 (or 662085 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 137621033984 in words is "one hundred thirty-seven billion, six hundred twenty-one million, thirty-three thousand, nine hundred eighty-four".