137883737376 has 576 divisors, whose sum is σ = 526866923520. Its totient is φ = 34655040000.

The previous prime is 137883737359. The next prime is 137883737393. The reversal of 137883737376 is 673737388731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137883737359) and next prime (137883737393).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14431801 + ... + 14441351.

It is an arithmetic number, because the mean of its divisors is an integer number (914699520).

Almost surely, 2^137883737376 is an apocalyptic number.

137883737376 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 137883737376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263433461760).

137883737376 is an abundant number, since it is smaller than the sum of its proper divisors (388983186144).

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

137883737376 is a wasteful number, since it uses less digits than its factorization.

137883737376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626 (or 9605 counting only the distinct ones).

The product of its digits is 74680704, while the sum is 63.

The spelling of 137883737376 in words is "one hundred thirty-seven billion, eight hundred eighty-three million, seven hundred thirty-seven thousand, three hundred seventy-six".