137386401376 has 96 divisors (see below), whose sum is σ = 313836429312. Its totient is φ = 57988224000.

The previous prime is 137386401353. The next prime is 137386401379. The reversal of 137386401376 is 673104683731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137386401379) 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 15 ways as a sum of consecutive naturals, for example, 3879751 + ... + 3915001.

It is an arithmetic number, because the mean of its divisors is an integer number (3269129472).

Almost surely, 2^137386401376 is an apocalyptic number.

137386401376 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 137386401376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156918214656).

137386401376 is an abundant number, since it is smaller than the sum of its proper divisors (176450027936).

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

137386401376 is a wasteful number, since it uses less digits than its factorization.

137386401376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35532 (or 35524 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 137386401376 in words is "one hundred thirty-seven billion, three hundred eighty-six million, four hundred one thousand, three hundred seventy-six".