137562294016 has 144 divisors (see below), whose sum is σ = 332607038400. Its totient is φ = 55431659520.

The previous prime is 137562293987. The next prime is 137562294047. The reversal of 137562294016 is 610492265731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45115660 + ... + 45118708.

It is an arithmetic number, because the mean of its divisors is an integer number (2309771100).

Almost surely, 2^137562294016 is an apocalyptic number.

137562294016 is a gapful number since it is divisible by the number (16) 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 137562294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166303519200).

137562294016 is an abundant number, since it is smaller than the sum of its proper divisors (195044744384).

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

137562294016 is a wasteful number, since it uses less digits than its factorization.

137562294016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 137562294016 in words is "one hundred thirty-seven billion, five hundred sixty-two million, two hundred ninety-four thousand, sixteen".