137808082944 has 576 divisors, whose sum is σ = 479191658400. Its totient is φ = 39016857600.

The previous prime is 137808082939. The next prime is 137808083069. The reversal of 137808082944 is 449280808731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490420084 + ... + 490420364.

Almost surely, 2^137808082944 is an apocalyptic number.

137808082944 is a gapful number since it is divisible by the number (14) 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 137808082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239595829200).

137808082944 is an abundant number, since it is smaller than the sum of its proper divisors (341383575456).

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

137808082944 is a wasteful number, since it uses less digits than its factorization.

137808082944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 137808082944 in words is "one hundred thirty-seven billion, eight hundred eight million, eighty-two thousand, nine hundred forty-four".