137848811904 has 320 divisors, whose sum is σ = 421740950400. Its totient is φ = 44669214720.

The previous prime is 137848811879. The next prime is 137848811911. The reversal of 137848811904 is 409118848731.

137848811904 is a `hidden beast` number, since 1 + 3 + 78 + 488 + 1 + 1 + 90 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 203616814 + ... + 203617490.

It is an arithmetic number, because the mean of its divisors is an integer number (1317940470).

Almost surely, 2^137848811904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137848811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210870475200).

137848811904 is an abundant number, since it is smaller than the sum of its proper divisors (283892138496).

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

137848811904 is an equidigital number, since it uses as much as digits as its factorization.

137848811904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 137848811904 in words is "one hundred thirty-seven billion, eight hundred forty-eight million, eight hundred eleven thousand, nine hundred four".