137158476448 has 96 divisors (see below), whose sum is σ = 310360498560. Its totient is φ = 58448839680.

The previous prime is 137158476353. The next prime is 137158476461. The reversal of 137158476448 is 844674851731.

It is a junction number, because it is equal to n+sod(n) for n = 137158476392 and 137158476401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57604218 + ... + 57606598.

It is an arithmetic number, because the mean of its divisors is an integer number (3232921860).

Almost surely, 2^137158476448 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 137158476448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155180249280).

137158476448 is an abundant number, since it is smaller than the sum of its proper divisors (173202022112).

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

137158476448 is a wasteful number, since it uses less digits than its factorization.

137158476448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3742 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 58.

The spelling of 137158476448 in words is "one hundred thirty-seven billion, one hundred fifty-eight million, four hundred seventy-six thousand, four hundred forty-eight".